Glasnik Matematicki, Vol. 42, No.1 (2007), 237-256.

HEEGAARD FLOER HOMOLOGY AND KNOT CONCORDANCE: A SURVEY OF RECENT ADVANCES

Stanislav Jabuka

Department of Mathematics and Statistics, 084, University of Nevada Reno, 89557 Reno, NV, USA
e-mail: jabuka@unr.edu

Abstract.   This article surveys some recent advances made in the understanding of the smooth knot concordance group C. The focus is exclusively on those results which have been driven by Heegaard Floer homology. Three invariants are discussed: the knot concordance epimorphisms τ, δ : C → Z and the correction terms of double branched covers of knots.

2000 Mathematics Subject Classification.   57M25, 57M27.

Key words and phrases.   Heegaard Floer homology, knot concordance, slice genus.

Full text (PDF) (free access)

DOI: 10.3336/gm.42.1.16

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