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224 papers in math.GT · page 1

  1. math.GT 2026-05-14 reviewed
    Floer maps block symplectic structures on Mazur manifolds

    Mazur manifolds and symplectic structures

    Alberto Cavallo

  2. math.GT 2026-05-14 reviewed
    Miyazawa |deg| equals monopole Floer Lefschetz number

    Miyazawa's Invariant, Lefschetz Numbers, and Seifert Solids

    Judson Kuhrman

  3. math.GT 2026-05-14 reviewed
    Quandle presentations now work for surface knots in any 4-manifold

    Quandle presentations of surface knots in 4-manifolds and bridge numbers

    Xiaozhou Zhou

  4. math.GT 2026-05-14 reviewed
    Simple geodesics on punctured tori repeat any length at most C(log L)^2 times

    McShane-Rivin norm balls and simple-length multiplicities

    Nhat Minh Doan +2

  5. math.GT 2026-05-14 reviewed
    Geodesic currents with strongly hyperbolic duals are dense

    Geodesic currents of coarse negative curvature

    D\'idac Mart\'inez-Granado +1

  6. math.CO 2026-04-20 reviewed
    Nonlinear Hodge selector matches linear version exactly on cactus graphs

    The Cactus Criterion: When Nonlinear Hodge Theory Reduces to Linear on Graphs

    Anil Thapa +2

  7. math.CO 2026-03-13 reviewed
    Matching rules equal height functions via closed cochains

    Matching Rules as Cocycle Conditions: Discrete Potentials on Penrose and Canonical Projection Tilings

    Elshad Allahyarov +2

  8. math.GT 2026-05-13 reviewed
    SageMath package turns knot mosaics into tile matrices

    The KnotMosaics Package for SageMath

    Allison K. Henrich +3

  9. math.GT 2026-05-13 reviewed
    Infinite tree mosaics represent wild knots with isolated wild points

    Taming Wild Knots with Mosaics

    Allison K. Henrich +3

  10. math.DS 2026-05-13 reviewed
    Billiard complexity computed exactly for hyperbolic polygons with even q

    Complexity of Billiards in Polygons Associated to Hyperbolic $(p,q)$-Tilings

    Jane Wang +1

  11. math.GT 2026-05-13 reviewed
    Brieskorn spheres block rational homology ball fillings

    Brieskorn spheres and rational homology ball symplectic fillings

    Alberto Cavallo +2

  12. math.GT 2026-05-13 reviewed
    AGL_r(C) varieties of twisted Hopf links stratify from GL_r(C)

    Stratification of $\mathrm{AGL}_r(\mathbb{C})$-representation varieties of twisted Hopf links

    \'Angel Molina-Navarro

  13. math.GT 2026-05-13 reviewed
    Mapping class groups are generated by two elements for g ≥ 13

    Generating the mapping class group of a nonorientable surface of genus $g \geq 13$ by two elements

    Berkay Aybak +1

  14. math.GT 2026-05-13 reviewed
    TAV groups zero twisted Alexander polynomials under faithful reps

    Twisted Alexander vanishing groups of knots

    Katsumi Ishikawa +2

  15. math.GT 2026-05-13 reviewed
    Twisted Alexander polynomials reduce mod p for finite group reps

    Twisted Alexander polynomials of a knot for group extensions

    Katsumi Ishikawa +2

  16. math.AT 2026-05-13 reviewed
    Stable cohomotopy fully algebraically described in codim 2

    Stable Cohomotopy in Codimensions Two and Three: From Algebraic Characterizations to Bordism-Theoretic Interpretations

    Jianzhong Pan +2

  17. math.GT 2026-05-13 reviewed
    Multi-virtual twin groups admit exactly eight 2-local representation types

    Presentations and Representations of the Multi-Virtual Twin Group and Associated Subgroups

    Madeti Prabhakar +3

  18. math.GT 2026-05-13 reviewed
    Mapping class subgroups have dense Teichmüller lengths

    Non-arithmeticity of length spectra of subgroups of mapping class groups

    Dongryul M. Kim +1

  19. math.GT 2026-05-13 reviewed
    Alternating knot traces admit PALFs whose fibers match white-region count

    Lefschetz Fibrations on Knot Traces of Alternating and Extended Alternating Knots

    Atsushi Tanaka

  20. math.GT 2026-05-13 reviewed
    Fold curves must cross themselves a minimum number of times

    A Lower Bound on the Self-intersections of Fold Singularities

    Joshua Drouin +1

  21. math.GT 2026-05-13 reviewed
    The authors construct an irreducible embedded real projective plane inside the 4-sphere

    An irreducible real projective plane in the 4-sphere

    Gheehyun Nahm +3

  22. math.QA 2026-05-13 reviewed
    Diagrammatic revival enables universal Lie algebra formulas

    Diagrammatic technique for Vogel's universality

    A. Sleptsov +1

  23. math.DS 2026-05-13 reviewed
    Pseudo-Anosov flows induce isometric actions on hyperbolic spaces

    Pseudo-Anosov flows and the geometry of Anosov-like group actions

    Abdul Zalloum +3

  24. math.SG 2026-05-12 reviewed
    Reeb orbits grow like T/log(T) on star-shaped hypersurfaces

    On the growth rate of Reeb orbit on star-shaped hypersurfaces

    Joao Pering +1

  25. math.GT 2026-05-12 reviewed
    Chewing-gum move turns boundary collisions into cusped Teichmuller space

    Chewing gums, snakes and candle cakes

    Benedetta Facciotti +2

  26. math.GT 2026-05-11 reviewed
    Non-compact arithmetic hyperbolic manifolds have thin surface subgroups

    Thin surface subgroups of non-uniform arithmetic lattices in $\rm{SO}^+(n,1)$

    Michael Zshornack +1

  27. math.GT 2026-05-11 reviewed
    Edge conditions from symmetries determine hyperbolic space groups

    Hyperbolic space groups and edge conditions for their domains

    Milica Stojanovi\'c

  28. math.GT 2026-05-11 reviewed
    Edge conditions pinpoint hyperbolic realizations for simplicial domains

    Hyperbolic space groups and edge conditions for their domains

    Milica Stojanovi\'c

  29. math.GT 2026-05-11 reviewed
    0-handle isotopy yields genus-1 fibers on knot traces

    Combinatorial extension of a simple construction of Lefschetz fibrations

    Atsushi Tanaka

  30. math.GT 2026-05-11 reviewed
    T-positive links are closures of T-homogeneous braids

    On T-positive links

    Benjamin Bode +1

  31. math.AG 2026-05-10 reviewed
    Refined lattice counts compute Euler characteristics of Klein moduli spaces

    Refined lattice point counting on the moduli space of Klein surfaces

    Alessandro Giacchetto +3

  32. math.GR 2026-05-09 reviewed
    Bornologies determine coarse classes of bornological metrics

    Bornological Metrics on Groups

    Andronick Arutyunov +1

  33. math.GT 2026-05-08 reviewed
    Basepoint-enhanced Khovanov TQFT invariant under RP2 sums with Euler -2

    Basepoints in Khovanov homology and nonorientable surfaces

    Gheehyun Nahm

  34. math.DS 2026-05-08 reviewed
    Mucube straight-line flow periodic via SL(2,Z) subgroup

    Straight-line trajectories on the Mucube

    Andre Oliveira +3

  35. math.GT 2026-05-07 reviewed
    Prism unfoldings cover hyperelliptic surfaces for explicit counts

    Translation Surfaces arising from Right Regular Prisms

    Anthony Sanchez +2

  36. math.GT 2026-05-07 reviewed
    Suspensions of K6-minor graphs force linked cycles in R^4

    Intrinsic Linking of 2-complexes in $\mathbb{R}^4$

    Hannah Schwartz Joseph +3

  37. math.GT 2026-05-07 reviewed
  38. math.GT 2026-05-07 reviewed
    Cable index equals Brouwer degree and bounds homotopy volume

    Minimal Homotopies in Three Dimensions: A Cable System Approach

    Bala Krishnamoorthy +2

  39. math.AT 2026-05-07 reviewed
    Explicit resolution built for symplectic Steinberg module

    A projective resolution of the symplectic Steinberg module

    Urshita Pal

  40. math.GT 2026-05-07 reviewed
    Cohomology decides finite volume for pseudo-hyperbolic simplices

    Geodesic simplices of pseudo-hyperbolic space

    Timoth\'e Lemistre

  41. math.GT 2026-05-07 reviewed
    Poincaré-Hopf theorem extends to determinantal singularities

    Poincar\'e-Hopf Theorem for Isolated Determinantal Singularities

    H. Santana +2

  42. math.GT 2026-05-07 reviewed
    Swept area defines pseudometric on ropelength-bounded knots

    Swept-Area Pseudometrics on Ropelength-Filtered Knot Spaces

    Makoto Ozawa

  43. math.GT 2026-05-06 reviewed
    Hopf fibrations on odd spheres share a fiber only under specific conditions

    On extending results of Gluck and Warner on fibrations of spheres by great subspheres

    Eric Yu

  44. math.GT 2026-05-06 reviewed
    Némethi formula now computes d-invariants for all negative-definite plumbings

    The Heegaard Floer d-invariant for more rational homology spheres

    Isabella Khan

  45. math.NT 2026-05-06 reviewed
    Cohomology of SL_n congruence subgroups surjects onto building homology

    The top cohomology of principal congruence subgroups of special linear groups over Euclidean number rings

    Urshita Pal

  46. math.AT 2026-05-06 reviewed
    Free subgroups of CP^n surgery sets computed in all dimensions

    Higher Smooth Surgery Structure Sets of Complex Projective Spaces, Part I

    Samuel Kalu\v{z}n\'y +1

  47. math.GT 2026-05-06 reviewed
    Hypersurfaces are related by embedded cobordisms iff homologous

    Cobordism-equivalence for codimension-one submanifolds

    Clayton McDonald +4

  48. math.DG 2026-05-06 reviewed
    Minimal Lagrangian count grows as A to the 6(k-1)

    Counting Minimal Lagrangians Via Mirzakhani Functions

    Andr\'e Neves +2

  49. math.GT 2026-05-06 reviewed
    Algorithm decides link-homotopy for four- and five-component links

    Implementation of the Habegger--Lin decision algorithm

    Atsuhiko Mizusawa +1

  50. math.GT 2026-05-05 reviewed
    Even-genus surfaces admit purely non-free actions of order 8g

    On the biggest purely non-free conformal actions on compact Riemann surfaces and their asymptotic properties

    C. Bagi\'nski +2