A cabling formula for $\nu^+$ invariant
Zhongtao Wu
TL;DR
This paper establishes a cabling formula for the + invariant, enabling easier computation and providing effective bounds on the 4-ball genus of cable knots.
Contribution
The paper introduces a new cabling formula for the + invariant, enhancing its computational utility and applications in knot theory.
Findings
Derived a cabling formula for + invariant.
Provided a simple method to bound the 4-ball genus of cable knots.
Improved understanding of the invariant's behavior under cabling.
Abstract
We prove a cabling formula for the concordance invariant , defined by the author and Hom. This gives rise to a simple and effective 4-ball genus bound for many cable knots.
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Taxonomy
TopicsGeometric and Algebraic Topology · Connective tissue disorders research · Homotopy and Cohomology in Algebraic Topology