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arXiv:0911.2679 [math.GT]AbstractReferencesReviewsResources

Cables of thin knots and bordered Heegaard Floer homology

Ina Petkova

Published 2009-11-13, updated 2014-10-16Version 3

We use bordered Floer homology to give a formula for the knot Floer homology of any (p, pn+1)-cable of a thin knot K in terms of Delta_K(t), tau(K), p, and n. We also give a formula for the Ozsvath-Szabo concordance invariant tau(K_{p, pn+1}) in terms of tau(K), p, and n, and a formula for tau(K_{p,q}) for almost all relatively prime p and q.

Comments: 29 pages, 7 figures; corrected minor mistakes and expanded exposition
Journal: Quantum Topology 4 (2013) 377-409
Categories: math.GT
Subjects: 57M27, 57R58
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