Publications [#328064] of Adam S. Levine

Papers Published

1. Levine, AS, Knot doubling operators and bordered heegaard floer homology, Journal of Topology, vol. 5 no. 3 (January, 2012), pp. 651-712, WILEY [doi]
   (last updated on 2026/01/14)

   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. © 2012 London Mathematical Society.