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arXiv:1008.3349 [math.GT]AbstractReferencesReviewsResources

Knot doubling operators and bordered Heegaard Floer homology

Adam Simon Levine

Published 2010-08-19, updated 2014-05-01Version 2

We use bordered Heegaard Floer homology to compute the tau invariant of a family of satellite knots obtained via twisted infection along two components of the Borromean rings, a generalization of Whitehead doubling. We show that tau of the resulting knot depends only on the two twisting parameters and the values of tau for the two companion knots. We also include some notes on bordered Heegaard Floer homology that may serve as a useful introduction to the subject.

Comments: 72 pages, 30 figures, some in color. Version 2 (published version): made substantial revisions throughout, especially in Section 3, and added Appendix. Ancillary files include Mathematica notebooks for bordered Heegaard Floer homology computations
Journal: Journal of Topology 5 (2012) 651-712
Categories: math.GT
Subjects: 57M25, 57M27, 57R58
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