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Paper Citation Record · LEDGER

Bending, entropy and proper affine actions of surface groups

As of 13 August 2026, this Paper Citation Record lists 66 of 66 outbound references and 0 inbound Pith citation observations for arXiv:2602.20146.

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2602.20146 v2

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measured 66 of 66 reference resolution

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measured 66 of 66 standing notices

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66 of 66 outbound references displayed

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Outbound references

Observation a40143ba-f867-460b-a75b-4cd5d19bf10d · outbound

This paper cites Properly discontinuous groups of affine transformations with orthogonal linear part,.

Bending, entropy and proper affine actions of surface groups Properly discontinuous groups of affine transformations with orthogonal linear part,

Reference 1

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Observation 87de229d-62d3-4be9-bba4-d589a91c4360 · outbound

This paper cites The structure of complete locally affine manifolds,.

Bending, entropy and proper affine actions of surface groups The structure of complete locally affine manifolds,

Reference 2

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Observation 2928943f-4f2b-469e-a1d0-562a39e67d82 · outbound

This paper cites Actions propres sur les espaces homog` enes r´ eductifs,.

Bending, entropy and proper affine actions of surface groups Actions propres sur les espaces homog` enes r´ eductifs,

Reference 3

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Observation 86678ff8-ac09-4fb5-a1e2-b687554ab74e · outbound

This paper cites Propri´ et´ es asymptotiques des groupes lin´ eaires,.

Bending, entropy and proper affine actions of surface groups Propri´ et´ es asymptotiques des groupes lin´ eaires,

Reference 4

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Observation 12280d0a-d696-4880-81dd-e683102a072c · outbound

This paper cites Benoist and J.F.

Bending, entropy and proper affine actions of surface groups Benoist and J.F

Reference 5

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Observation 1188e5a9-12c7-4355-97b3-95d51e0315d0 · outbound

This paper cites Simultaneous uniformization,.

Bending, entropy and proper affine actions of surface groups Simultaneous uniformization,

Reference 6

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Observation ffef6fae-1047-41d2-bc81-b67a4f906217 · outbound

This paper cites Blayac,Aspects dynamiques des structures projectives convexes,PhD thesis, Universit` e Paris-Saclay, 2021, seehttps: //theses.hal.science/tel-0348402621.

Bending, entropy and proper affine actions of surface groups Blayac,Aspects dynamiques des structures projectives convexes,PhD thesis, Universit` e Paris-Saclay, 2021, seehttps: //theses.hal.science/tel-0348402621

Reference 7

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Observation b97502c6-6f8c-43d0-857b-9fa1b4daeb0f · outbound

This paper cites Anosov Representations and dominated splittings,.

Bending, entropy and proper affine actions of surface groups Anosov Representations and dominated splittings,

Reference 8

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Observation 62dd7aff-3944-4671-953d-7d65814daa9d · outbound

This paper cites The geometry of Teichm¨ uller space via geodesic currents,.

Bending, entropy and proper affine actions of surface groups The geometry of Teichm¨ uller space via geodesic currents,

Reference 9

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Observation 11eb1e6c-7ac9-4e5b-978f-53927a8be886 · outbound

This paper cites Laminations measur´ ees de plissage des vari´ et´ es hyperboliques de dimension 3.

Bending, entropy and proper affine actions of surface groups Laminations measur´ ees de plissage des vari´ et´ es hyperboliques de dimension 3

Reference 10

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Observation 126c2b73-071e-4284-b208-0b3e6c21e798 · outbound

This paper cites Hausdorff dimension of quasicircles.

Bending, entropy and proper affine actions of surface groups Hausdorff dimension of quasicircles

Reference 11

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Observation b37a1c39-0860-4eff-9b5e-e7584dba9308 · outbound

This paper cites Hausdorff dimension and the Weil-Petersson extension to quasi-fuchsian space,.

Bending, entropy and proper affine actions of surface groups Hausdorff dimension and the Weil-Petersson extension to quasi-fuchsian space,

Reference 12

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Observation 5e102290-5651-401b-8f71-9d8da30be538 · outbound

This paper cites The pressure metric for Anosov representations,.

Bending, entropy and proper affine actions of surface groups The pressure metric for Anosov representations,

Reference 13

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Observation 5aa5ed08-fdbb-4dca-8893-8a65978fe2d4 · outbound

This paper cites Bounds on bending in terms of the Schwartzian derivative and Teichm¨ uller distance,.

Bending, entropy and proper affine actions of surface groups Bounds on bending in terms of the Schwartzian derivative and Teichm¨ uller distance,

Reference 14

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Observation 639fd2fb-38b2-4efc-b526-223ec28ce8f4 · outbound

This paper cites An improved bound for Sullivan’s convex hull theorem,.

Bending, entropy and proper affine actions of surface groups An improved bound for Sullivan’s convex hull theorem,

Reference 15

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Observation ff0669ce-bfe4-4ce7-adc9-4c3789de0377 · outbound

This paper cites Proper affine deformations of positive representations.

Bending, entropy and proper affine actions of surface groups Proper affine deformations of positive representations

Reference 16

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Observation fb1fbb70-516e-4371-bb72-8cf944efc406 · outbound

This paper cites Growth of quadratic forms under Anosov subgroups,.

Bending, entropy and proper affine actions of surface groups Growth of quadratic forms under Anosov subgroups,

Reference 17

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Observation fb24434b-62de-44cd-bf9d-32262f846cad · outbound

This paper cites ‘Proper affine deformations of two-generator Fuchsian groups.

Bending, entropy and proper affine actions of surface groups ‘Proper affine deformations of two-generator Fuchsian groups

Reference 18

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Observation 99295a6c-c17a-45d6-8d7a-9ea9a9c92592 · outbound

This paper cites Lifting representations to covering groups,.

Bending, entropy and proper affine actions of surface groups Lifting representations to covering groups,

Reference 19

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Observation f3570470-c4e0-4f7a-a2ea-5debfb228ae6 · outbound

This paper cites Geometry and topology of complete Lorentz spacetimes of constant curvature,.

Bending, entropy and proper affine actions of surface groups Geometry and topology of complete Lorentz spacetimes of constant curvature,

Reference 20

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Observation 3d1024be-b297-44d2-b1e0-92b6250b2fa7 · outbound

This paper cites Margulis spacetimes via the arc complex,.

Bending, entropy and proper affine actions of surface groups Margulis spacetimes via the arc complex,

Reference 21

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Observation 026c1540-1535-4e8d-b0c9-a17d4407d4aa · outbound

This paper cites Proper affine actions of right-angled Coxeter groups,.

Bending, entropy and proper affine actions of surface groups Proper affine actions of right-angled Coxeter groups,

Reference 22

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Observation 8fe0c272-904c-4067-b953-29081f668ec9 · outbound

This paper cites Affine actions with Hitchin linear part.

Bending, entropy and proper affine actions of surface groups Affine actions with Hitchin linear part

Reference 23

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Observation 387e0d18-e95f-4f79-9773-0977dda3c2bf · outbound

This paper cites Fundamental polyhedra for Margulis space-times.

Bending, entropy and proper affine actions of surface groups Fundamental polyhedra for Margulis space-times

Reference 24

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Observation 4e128067-7cad-43b0-abdc-baa4c17e4c6c · outbound

This paper cites The geometry of crooked planes,.

Bending, entropy and proper affine actions of surface groups The geometry of crooked planes,

Reference 25

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Observation 9fc1f553-837d-4d49-ac73-04dbc5626257 · outbound

This paper cites Convex co-compact hyperbolic manifolds are determined by their pleating lamination.

Bending, entropy and proper affine actions of surface groups Convex co-compact hyperbolic manifolds are determined by their pleating lamination

Reference 26

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Observation 61ba5fd7-d0fa-4679-bc62-f7087c0e0789 · outbound

This paper cites Convex hulls in hyperbolic space, a theorem of Sullivan, and measured pleated surfaces.

Bending, entropy and proper affine actions of surface groups Convex hulls in hyperbolic space, a theorem of Sullivan, and measured pleated surfaces

Reference 27

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Observation 82116171-d55d-46b2-8ee9-cee2f133a3e1 · outbound

This paper cites Quasiconformal homeomorphisms and the convex hull boundary,.

Bending, entropy and proper affine actions of surface groups Quasiconformal homeomorphisms and the convex hull boundary,

Reference 28

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Observation d4ceb82e-7a5f-4b8e-9aab-47a10513b04e · outbound

This paper cites Complex earthquakes and deformations of the unit disk,.

Bending, entropy and proper affine actions of surface groups Complex earthquakes and deformations of the unit disk,

Reference 29

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Observation c3f0cfc4-ca8c-458a-be7a-4c5d97954cc1 · outbound

This paper cites Three-dimensional affine crystallographic groups,.

Bending, entropy and proper affine actions of surface groups Three-dimensional affine crystallographic groups,

Reference 30

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Observation b3afd062-f922-444d-9fed-c60e0c824593 · outbound

This paper cites Anosov representations: domains of discontinuity and applications,.

Bending, entropy and proper affine actions of surface groups Anosov representations: domains of discontinuity and applications,

Reference 31

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Observation d9eb81ee-4bc5-4136-9133-9621d6c095c6 · outbound

This paper cites Deformation of Fuchsian representations and proper affine actions.

Bending, entropy and proper affine actions of surface groups Deformation of Fuchsian representations and proper affine actions

Reference 32

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Observation c4b31b86-ee2a-4661-8218-431defeb61f7 · outbound

This paper cites Avatars of Margulis invariants and proper actions.

Bending, entropy and proper affine actions of surface groups Avatars of Margulis invariants and proper actions

Reference 33

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Observation 5dc9ee54-2a1f-4ffe-8ef0-761660e0ecf7 · outbound

This paper cites Affine Anosov representations and proper actions,.

Bending, entropy and proper affine actions of surface groups Affine Anosov representations and proper actions,

Reference 34

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Observation 57caccca-4b69-4310-bb7b-c6254fb282ee · outbound

This paper cites Anosov representations, group manifolds and Laplacian spectra,.

Bending, entropy and proper affine actions of surface groups Anosov representations, group manifolds and Laplacian spectra,

Reference 35

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Observation 2d913d1f-fb14-48ee-8188-b1ec4dc4767f · outbound

This paper cites The symplectic nature of fundamental groups of surfaces,.

Bending, entropy and proper affine actions of surface groups The symplectic nature of fundamental groups of surfaces,

Reference 36

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Observation 754e9f90-64d7-48ee-b792-57831e302a49 · outbound

This paper cites The complex symplectic geometry ofSL(2,C)-characters over surfaces,.

Bending, entropy and proper affine actions of surface groups The complex symplectic geometry ofSL(2,C)-characters over surfaces,

Reference 37

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Observation e19cd494-99a7-48d0-bd21-6eea0b49cbcd · outbound

This paper cites Proper affine actions and geodesic flows of hyperbolic surfaces,.

Bending, entropy and proper affine actions of surface groups Proper affine actions and geodesic flows of hyperbolic surfaces,

Reference 38

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source=pdf_text observed=2026-08-02T21:36:57.336124Z digest=sha256:61496c602ffb56da819944187f5eba55f1c2a5e33fe9c7f8f7c23bcf6b47e28d

Observation 81f1973d-cf2a-477d-9bbd-6f12966ee862 · outbound

This paper cites Flat Lorentz 3-manifolds and cocompact Fuchsian groups.

Bending, entropy and proper affine actions of surface groups Flat Lorentz 3-manifolds and cocompact Fuchsian groups

Reference 39

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Observation e82986b5-191a-41bc-a087-68dbf49b92e7 · outbound

This paper cites Anosov subgroups: Dynamical and geometric characterizations,.

Bending, entropy and proper affine actions of surface groups Anosov subgroups: Dynamical and geometric characterizations,

Reference 40

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Observation 21f8be05-da23-4c64-9127-6b87c57c52c9 · outbound

This paper cites Geometric structures and representations of discrete groups,.

Bending, entropy and proper affine actions of surface groups Geometric structures and representations of discrete groups,

Reference 41

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Observation 59cd8982-a8ab-4991-90f1-80fbc7121ba1 · outbound

This paper cites Affine properness criterion for Anosov representations and generalizations,.

Bending, entropy and proper affine actions of surface groups Affine properness criterion for Anosov representations and generalizations,

Reference 42

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Observation bfd262c8-c367-436f-b624-46ea71838289 · outbound

This paper cites Continuity of convex hull boundaries,.

Bending, entropy and proper affine actions of surface groups Continuity of convex hull boundaries,

Reference 43

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Observation 52a72afd-ce57-4b38-a3ad-a48663fb0a30 · outbound

This paper cites Proper action on a homogeneous space of reductive type,.

Bending, entropy and proper affine actions of surface groups Proper action on a homogeneous space of reductive type,

Reference 44

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Observation 1dc4e838-277a-4827-9037-8202f4f431bb · outbound

This paper cites The principal three-dimensional subgroup and the Betti numbers of a complex simple Lie group,.

Bending, entropy and proper affine actions of surface groups The principal three-dimensional subgroup and the Betti numbers of a complex simple Lie group,

Reference 45

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Observation 6d63b81c-e9a9-4041-972e-79af57c6284c · outbound

This paper cites The geometry of bending quasi-Fuchsian groups,.

Bending, entropy and proper affine actions of surface groups The geometry of bending quasi-Fuchsian groups,

Reference 46

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Observation fb1876af-0086-499a-9f31-a37a47d1c756 · outbound

This paper cites On the continuity of bending.

Bending, entropy and proper affine actions of surface groups On the continuity of bending

Reference 47

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Observation 59472cdf-d159-448e-a92b-8b2fd5907898 · outbound

This paper cites Anosov flows, surface groups and curves in projective space,.

Bending, entropy and proper affine actions of surface groups Anosov flows, surface groups and curves in projective space,

Reference 48

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Observation 91fe43c2-aa70-4c8d-9e80-c9713cf8f97d · outbound

This paper cites Entropy and affine actions for surface groups,.

Bending, entropy and proper affine actions of surface groups Entropy and affine actions for surface groups,

Reference 49

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source=pdf_text observed=2026-08-02T21:36:59.225159Z digest=sha256:cd0bf8ba8c3b6cda9b0b17fe8e5ab0ca406671f10aca1ec30ceb70647ac7795a

Observation db548a3c-82c4-43f0-b068-cfc6e9ba3cde · outbound

This paper cites Lehto,Univalent Functions and Teichm¨ uller Spaces, Springer-Verlag, 1987.

Bending, entropy and proper affine actions of surface groups Lehto,Univalent Functions and Teichm¨ uller Spaces, Springer-Verlag, 1987

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Observation 2758f799-ae33-4c0b-912c-3bb1d3a71bcb · outbound

This paper cites Free properly discontinuous groups of affine transformations,.

Bending, entropy and proper affine actions of surface groups Free properly discontinuous groups of affine transformations,

Reference 51

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Observation d377fb27-ac9c-442d-9e8a-992aa5f69cf2 · outbound

This paper cites Complete affine locally flat manifolds with a free fundamental group.

Bending, entropy and proper affine actions of surface groups Complete affine locally flat manifolds with a free fundamental group

Reference 52

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Observation d10f2247-3624-4b04-b6d2-b3f5020791af · outbound

This paper cites Lorentz spacetimes of constant curvature,.

Bending, entropy and proper affine actions of surface groups Lorentz spacetimes of constant curvature,

Reference 53

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Observation f55fcf21-c8c2-4bb0-aae2-7c14991deba8 · outbound

This paper cites On fundamental groups of complete affinely flat manifolds,.

Bending, entropy and proper affine actions of surface groups On fundamental groups of complete affinely flat manifolds,

Reference 54

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Observation 917fec5e-b150-49d5-ab81-26e117050d93 · outbound

This paper cites The Schwarzian derivative and schlicht functions,.

Bending, entropy and proper affine actions of surface groups The Schwarzian derivative and schlicht functions,

Reference 55

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Observation 669e1f0a-a9cf-46f7-aaf5-9ebbf93ac007 · outbound

This paper cites Complex symplectic geometry of quasi-Fuchsian Space,.

Bending, entropy and proper affine actions of surface groups Complex symplectic geometry of quasi-Fuchsian Space,

Reference 56

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Observation 30d33533-1cb7-4a48-abf4-4e2081a33c79 · outbound

This paper cites Repellers for real analytic maps,.

Bending, entropy and proper affine actions of surface groups Repellers for real analytic maps,

Reference 57

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Observation 7745d5dd-db32-47eb-baca-2ab3eceda519 · outbound

This paper cites A report on an ergodic dichotomy,.

Bending, entropy and proper affine actions of surface groups A report on an ergodic dichotomy,

Reference 58

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Observation 21919844-be1b-4cef-be94-6b8d28abfecc · outbound

This paper cites Asymptotic properties of infinitesimal characters and applications,.

Bending, entropy and proper affine actions of surface groups Asymptotic properties of infinitesimal characters and applications,

Reference 59

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Observation 7f3bf1de-5e44-4ff8-af27-872e5bf837f5 · outbound

This paper cites An extension of Wolpert’s derivative formula,.

Bending, entropy and proper affine actions of surface groups An extension of Wolpert’s derivative formula,

Reference 60

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Observation cd630820-5639-4701-96fc-e565e26cb393 · outbound

This paper cites Proper affine actions on semisimple Lie algebras.

Bending, entropy and proper affine actions of surface groups Proper affine actions on semisimple Lie algebras

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Observation 7b1da002-aece-491d-9c77-2b96404d4fff · outbound

This paper cites Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups,.

Bending, entropy and proper affine actions of surface groups Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups,

Reference 62

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source=pdf_text observed=2026-08-02T21:37:00.974638Z digest=sha256:2a52e3eb11c1d48c1d998a657dc17d4cbe8fbaadc31e2754823530a8f0f4fa3f

Observation ad530a90-0c63-462b-aaf0-bade0b4482d9 · outbound

This paper cites Thurston,The Geometry and Topology of 3-manifolds, lecture notes, Princeton University, 1980.

Bending, entropy and proper affine actions of surface groups Thurston,The Geometry and Topology of 3-manifolds, lecture notes, Princeton University, 1980

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source=pdf_text observed=2026-08-02T21:37:01.106222Z digest=sha256:844366ffa85a39dce7731360754626df9beccb5738ece28932d83b205237f635

Observation aafab307-d48d-4d36-ba13-ba38fc9b60a1 · outbound

This paper cites Properly discontinuous group actions on affine homogeneous spaces,.

Bending, entropy and proper affine actions of surface groups Properly discontinuous group actions on affine homogeneous spaces,

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Observation 20e96057-5341-4bec-b2a1-d302a4ab70cb · outbound

This paper cites An invitation to higher Teichm¨ uller theory,.

Bending, entropy and proper affine actions of surface groups An invitation to higher Teichm¨ uller theory,

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Observation 2d5429e0-3cf4-4c6a-8de6-5505ea1ee8fc · outbound

This paper cites Constructing proper affine actions via higher strip deformations.

Bending, entropy and proper affine actions of surface groups Constructing proper affine actions via higher strip deformations

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