Volume 12, issue 1 (2012)

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Some bounds for the knot Floer $\tau$–invariant of satellite knots

Lawrence P Roberts

Algebraic & Geometric Topology 12 (2012) 449–467
Abstract

This paper uses four dimensional handlebody theory to compute upper and lower bounds for the Heegaard Floer $\tau$–invariant of almost all satellite knots in terms of the $\tau$–invariants of the pattern and the companion.

Keywords
$\tau$–invariant, satellite knots, Heegaard Floer homology
Primary: 57M27
Secondary: 57R58