Comparing invariants of Legendrian knots
Geometric Topology
2014-04-07 v1
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.
Keywords
Cite
@article{arxiv.1404.1203,
title = {Comparing invariants of Legendrian knots},
author = {Marco Golla},
journal= {arXiv preprint arXiv:1404.1203},
year = {2014}
}
Comments
30 pages, 9 figures. arXiv admin note: text overlap with arXiv:1201.5286