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A combinatorial description of the LOSS Legendrian knot invariant

Geometric Topology 2021-03-16 v1 Symplectic Geometry

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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Cite

@article{arxiv.2103.07610,
  title  = {A combinatorial description of the LOSS Legendrian knot invariant},
  author = {Dongtai He and Linh Truong},
  journal= {arXiv preprint arXiv:2103.07610},
  year   = {2021}
}

Comments

5 pages, 2 figures