Knot Floer homology and the four-ball genus
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Publication:1426933
DOI10.2140/GT.2003.7.615zbMATH Open1037.57027arXivmath/0301149OpenAlexW2035293958MaRDI QIDQ1426933
Author name not available (Why is that?)
Publication date: 15 March 2004
Published in: (Search for Journal in Brave)
Abstract: We use the knot filtration on the Heegaard Floer complex to define an integer invariant tau(K) for knots. Like the classical signature, this invariant gives a homomorphism from the knot concordance group to Z. As such, it gives lower bounds for the slice genus (and hence also the unknotting number) of a knot; but unlike the signature, tau gives sharp bounds on the four-ball genera of torus knots. As another illustration, we calculate the invariant for several ten-crossing knots.
Full work available at URL: https://arxiv.org/abs/math/0301149
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