Bordered Heegaard Floer homology and the tau-invariant of cable knots
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Publication:2928213
DOI10.1112/JTOPOL/JTT030zbMATH Open1368.57002arXiv1202.1463OpenAlexW3101901190MaRDI QIDQ2928213
Author name not available (Why is that?)
Publication date: 7 November 2014
Published in: (Search for Journal in Brave)
Abstract: We define a concordance invariant, epsilon(K), associated to the knot Floer complex of K, and give a formula for the Ozsv'ath-Szab'o concordance invariant tau of K_{p,q}, the (p,q)-cable of a knot K, in terms of p, q, tau(K), and epsilon(K). We also describe the behavior of epsilon under cabling, allowing one to compute tau of iterated cables. Various properties and applications of epsilon are also discussed.
Full work available at URL: https://arxiv.org/abs/1202.1463
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