Glasnik matematički, Vol. 42 No. 1, 2007.
Original scientific paper
https://doi.org/10.3336/gm.42.1.16
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
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.
Keywords
Heegaard Floer homology; knot concordance; slice genus
Hrčak ID:
12898
URI
Publication date:
12.6.2007.
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