2014/04/04 by Marco Golla, Golla, Marco
Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #math.GT
paper · pdf · doi:10.48550/arxiv.1404.1203
30 pages, 9 figures. arXiv admin note: text overlap with arXiv:1201.5286
arxiv created 2014/04/04 · arxiv updated 2014/04/07
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.