Abstract
We use bordered Heegaard Floer homology to compute the τ 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 τ of the resulting knot depends only on the two twisting parameters and the values of τ 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.
Original language | English (US) |
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Article number | jts021 |
Pages (from-to) | 651-712 |
Number of pages | 62 |
Journal | Journal of Topology |
Volume | 5 |
Issue number | 3 |
DOIs | |
State | Published - Sep 2012 |
All Science Journal Classification (ASJC) codes
- Geometry and Topology