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Cables of thin knots and bordered Heegaard Floer homology
by
Ina Petkova
Columbia University
We describe bordered Floer homology, defined by Lipshitz, Ozvath, and Thurston, in the case of torus boundary, and explain how to apply it to compute invariants of satellites of knots. In particular, we give a formula for HFK-hat of any (p, pn+1)-cable of a thin knot K in terms of the Alexander polynomial of K, 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.
Paper reference: http://arxiv.org/abs/0911.2679
Date received: November 16, 2009
Copyright © 2009 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cazp-07.