A combinatorial description of the LOSS Legendrian knot invariant

2021/03/13 by Dongtai He, He, Dongtai, Linh Truong +1
Mathematics · #57K18 #57R58 #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Symplectic Geometry (math.SG) #math.GT #math.SG #msc:57K18 #msc:57R58

paper · pdf · doi:10.48550/arxiv.2103.07610

5 pages, 2 figures

arxiv created 2021/03/13 · openalex publication_date 2021/03/13 · arxiv updated 2021/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note, we observe that the hat version of the Heegaard Floer invariant of Legendrian knots in contact three-manifolds defined by Lisca-Ozsvath-Stipsicz-Szabo can be combinatorially computed. We rely on Plamenevskaya's combinatorial description of the Heegaard Floer contact invariant.

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