Special Issue for Tim Cochran; Guest Editors: J. E. Grigsby, S. Harvey, K. Orr and D. RubermanNo Access

A survey on Heegaard Floer homology and concordance

Jennifer Hom

Jennifer Hom

School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332, USA

School of Mathematics, Institute for Advanced Study, Princeton, NJ 08540, USA

E-mail Address: hom@math.gatech.edu

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https://doi.org/10.1142/S0218216517400156Cited by:41 (Source: Crossref)

Abstract

In this survey paper, we discuss several different knot concordance invariants coming from the Heegaard Floer homology package of Ozsváth and Szabó. Along the way, we prove that if two knots are concordant, then their knot Floer complexes satisfy a certain type of stable equivalence.

Keywords:

AMSC: 57M25, 57N70, 57R58

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