Abstract
We prove the equivalence of the invariants EH (L) and \mathcal L^–(\pm L) for oriented Legendrian knots L 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 S^3\setminus K and the knot Floer homology of (S^3,K) and define intermediate Legendrian invariants.
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