A combinatorial description of the LOSS Legendrian knot invariant-Reference-Cited by-同舟云学术

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A combinatorial description of the LOSS Legendrian knot invariant

Published:2022-11 Issue:13 Volume:31 Page:
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

He Dongtai¹,Truong Linh²^ORCID

Affiliation:

1. Shanghai Center for Mathematical Science, Fudan University, Shanghai, China 200438, China

2. Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, USA

Abstract

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

Funder

National Science Foundation

Publisher

World Scientific Pub Co Pte Ltd

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216522500936

Reference14 articles.

1. On the equivalence of Legendrian and transverse invariants in knot Floer homology

2. The contact invariant in sutured Floer homology

3. On the contact class in Heegaard Floer homology

4. Combinatorial cobordism maps in hat Heegaard Floer theory

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