We prove the equivalence of the invariants EH and for oriented Legendrian knots in the 3-sphere equipped with the standard contact structure, partially extending a previous result by Stipsicz and Vértesi. In the course of the proof we relate the sutured Floer homology groups associated with a knot complement and the knot Floer homology of and define intermediate Legendrian invariants.
Cite this article
Marco Golla, Comparing invariants of Legendrian knots. Quantum Topol. 6 (2015), no. 3, pp. 365–402DOI 10.4171/QT/66