A topological classification of generating functions | Paper Citation Record

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This paper cites Twisted generating functions and the nearby lagrangian conjecture.Duke Mathe- matical Journal, 174(5):949–1011, 2025.

A topological classification of generating functions Twisted generating functions and the nearby lagrangian conjecture.Duke Mathe- matical Journal, 174(5):949–1011, 2025

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This paper cites Abouzaid, D.

A topological classification of generating functions Abouzaid, D

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This paper cites Some Algebraic Properties of Cerf Diagrams of One-Parameter Function Families.Functional Analysis and Its Applications, 39(3):165–174, 2005.

A topological classification of generating functions Some Algebraic Properties of Cerf Diagrams of One-Parameter Function Families.Functional Analysis and Its Applications, 39(3):165–174, 2005

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This paper cites Normal forms of functions near degenerate critical points, the Weyl groupsAk,D k,E k and Lagrangian singularities.Funkcional.

A topological classification of generating functions Normal forms of functions near degenerate critical points, the Weyl groupsAk,D k,E k and Lagrangian singularities.Funkcional

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A topological classification of generating functions Heavy subsets from microsupports

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This paper cites La stratification naturelle des espaces de fonctions différentiables réelles et le théoreme de la pseudo-isotopie.Publications Mathématiques de l’IHÉS, 39:5–173, 1970.

A topological classification of generating functions La stratification naturelle des espaces de fonctions différentiables réelles et le théoreme de la pseudo-isotopie.Publications Mathématiques de l’IHÉS, 39:5–173, 1970

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This paper cites géodésiques brisées.

A topological classification of generating functions géodésiques brisées

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This paper cites Combinatorics of fronts of legendrian links and the arnol’d 4-conjectures.Russian Mathematical Surveys, 60(1):95–149, 2005.

A topological classification of generating functions Combinatorics of fronts of legendrian links and the arnol’d 4-conjectures.Russian Mathematical Surveys, 60(1):95–149, 2005

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This paper cites Critical points of quasifunctions, and generating families of Legen- drian manifolds.Funktsional’nyi Analiz i ego Prilozheniya, 30(2):56–69, 96, 1996.

A topological classification of generating functions Critical points of quasifunctions, and generating families of Legen- drian manifolds.Funktsional’nyi Analiz i ego Prilozheniya, 30(2):56–69, 96, 1996

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This paper cites Nonsqueezing property of contact balls.Duke Mathematical Journal, 166(4):605, 2017.

A topological classification of generating functions Nonsqueezing property of contact balls.Duke Mathematical Journal, 166(4):605, 2017

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This paper cites Duality between Lagrangian and Legendrian in- variants.Geometry & Topology, 27(6):2049–2179, 2023.

A topological classification of generating functions Duality between Lagrangian and Legendrian in- variants.Geometry & Topology, 27(6):2049–2179, 2023

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This paper cites Lagrangian intersection theory: finite- dimensional approach.Translations of the American Mathematical Society-Series 2, 186:27–118, 1998.

A topological classification of generating functions Lagrangian intersection theory: finite- dimensional approach.Translations of the American Mathematical Society-Series 2, 186:27–118, 1998

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This paper cites A categori- fication of Morelli’s theorem.Inventiones mathematicae, 186(1):79–114, 2011.

A topological classification of generating functions A categori- fication of Morelli’s theorem.Inventiones mathematicae, 186(1):79–114, 2011

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This paper cites Generating families and Legendrian contact homology in the standard contact space.Journal of Topology, 4(1):190–226, 2011.

A topological classification of generating functions Generating families and Legendrian contact homology in the standard contact space.Journal of Topology, 4(1):190–226, 2011

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This paper cites Homological mirror sym- metry for hypertoric varieties, ii.Geometry & Topology, 29(8):3921–3993, 2025.

A topological classification of generating functions Homological mirror sym- metry for hypertoric varieties, ii.Geometry & Topology, 29(8):3921–3993, 2025

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This paper cites Mirror symmetry for very affine hypersur- faces.Acta Mathematica, 229(2):287–346, 2022.

A topological classification of generating functions Mirror symmetry for very affine hypersur- faces.Acta Mathematica, 229(2):287–346, 2022

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This paper cites Microlocal Morse theory of wrapped Fukaya categories.Annals of Mathematics, 199(3):943–1042, 2024.

A topological classification of generating functions Microlocal Morse theory of wrapped Fukaya categories.Annals of Mathematics, 199(3):943–1042, 2024

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This paper cites Formes génératrices d’immersions lagrangiennes dans un espace cotangent.

A topological classification of generating functions Formes génératrices d’immersions lagrangiennes dans un espace cotangent

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This paper cites Sheaves and symplectic geometry of cotangent bundles.

A topological classification of generating functions Sheaves and symplectic geometry of cotangent bundles

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This paper cites Sheaf quantization of Hamiltonian isotopies and applications to nondisplaceability problems.Duke Math- ematical Journal, 161(2):201–245, 2012.

A topological classification of generating functions Sheaf quantization of Hamiltonian isotopies and applications to nondisplaceability problems.Duke Math- ematical Journal, 161(2):201–245, 2012

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This paper cites Microlocal theory of sheaves and tamarkin’s non displaceability theorem.

A topological classification of generating functions Microlocal theory of sheaves and tamarkin’s non displaceability theorem

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This paper cites Pseudo-isotopies of compact manifolds.

A topological classification of generating functions Pseudo-isotopies of compact manifolds

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This paper cites Fourier integral operators.

A topological classification of generating functions Fourier integral operators

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A topological classification of generating functions The stability theorem for smooth pseudoisotopies.K-Theory, 2(1- 2):1–355, 1988

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This paper cites Microlocal sheaf categories and the $J$-homomorphism.

A topological classification of generating functions Microlocal sheaf categories and the $J$-homomorphism

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A topological classification of generating functions Brane structures in microlocal sheaf theory.Journal of Topology, 17(1):e12325, 2024

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A topological classification of generating functions Generating family invariants for Legendrian links of unknots.Algebraic & Geometric Topology, 6(2):895–933, 2006

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A topological classification of generating functions Braid-positive Legendrian links.International Mathematics Re- search Notices, 2006(9):14874–14874, 2006

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This paper cites Springer Science & Business Media, 2013.

A topological classification of generating functions Springer Science & Business Media, 2013

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This paper cites Generating Functions in $\mathbb{R}^{2n}$ and the Hatcher-Waldhausen map.

A topological classification of generating functions Generating Functions in $\mathbb{R}^{2n}$ and the Hatcher-Waldhausen map

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This paper cites The nonequivariant coherent-constructible correspondence for toric stacks.Duke Mathematical Journal, 169(11):2125, 2020.

A topological classification of generating functions The nonequivariant coherent-constructible correspondence for toric stacks.Duke Mathematical Journal, 169(11):2125, 2020

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A topological classification of generating functions Persistance d’intersection avec la section nulle au cours d’une isotopie hamiltonienne dans un fibré cotangent.Inven- tiones mathematicae, 82:349–357, 1985

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A topological classification of generating functions Augmentations and rulings of Legendrian knots.Journal of Sym- plectic Geometry, 14(4):1089–1143, 2016

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This paper cites Microsheaf composition of La- grangian correspondences.arXiv:2511.19814.

A topological classification of generating functions Microsheaf composition of La- grangian correspondences.arXiv:2511.19814

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A topological classification of generating functions Unresolved cited work

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A topological classification of generating functions Microlocal branes are constructible sheaves.Selecta Mathematica, 15(4):563–619, 2009

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A topological classification of generating functions Sheaf quantization in Weinstein symplectic manifolds

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A topological classification of generating functions Constructible sheaves and the Fukaya category

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A topological classification of generating functions Aug- mentations are sheaves.Geometry & Topology, 24(5):2149–2286, 2020

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A topological classification of generating functions EnhancedBruhatdecompositionandMorsetheory

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A topological classification of generating functions A lemma for microlocal sheaf theory in the∞- categorical setting.Publications of the Research Institute for Mathematical Sciences, 54(2):379–391, 2018

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This paper cites The conormal torus is a complete knot invariant.

A topological classification of generating functions The conormal torus is a complete knot invariant

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A topological classification of generating functions Cluster varieties from legendrian knots.Duke Mathematical Journal, 168(15):2801, 2019

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A topological classification of generating functions Legendrian knots and con- structible sheaves.Inventiones mathematicae, 207:1031–1133, 2017

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A topological classification of generating functions Problèmesd’intersectionsetdepointsfixesengéométriehamil- tonienne.Commentarii Mathematici Helvetici, 62(1):62–73, 1987

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A topological classification of generating functions Microlocal condition for non-displaceability

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A topological classification of generating functions A complete proof of Viterbo’s uniqueness theorem on generating functions.Topology and its Applications, 96(3):249–266, 1999

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A topological classification of generating functions Sheaf Quantization of Lagrangians and Floer cohomology

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A topological classification of generating functions Symplectic topology as the geometry of generating functions.Math- ematische Annalen, 292(1):685–710, 1992

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A topological classification of generating functions An introduction to symplectic topology through sheaf theory

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A topological classification of generating functions The six operations in topology.Journal of Topology, 18(4):e70050, 2025

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A topological classification of generating functions Algebraic K-theory of spaces: a manifold approach.Current trends in algebraic topology, vol

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A topological classification of generating functions Capacities from the Chiu-Tamarkin complex.Journal of Symplectic Geometry, 22(3):441–524, 2024

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