Comparing invariants of Legendrian knots

Marco Golla

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arXiv · 1404.1203

Comparing invariants of Legendrian knots

Marco Golla

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Abstract

We prove the equivalence of the invariants EH(L) and LOSS-(L) for oriented Legendrian knots L in the 3-sphere equipped with the standard contact structure, partially extending a previous result by Stipsicz and Vertesi. In the course of the proof we relate the sutured Floer homology groups associated with a knot complement and knot Floer homology, and define intermediate Legendrian invariants.

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Marco Golla. 2014-04-04. Comparing invariants of Legendrian knots. https://arxiv.org/abs/1404.1203

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