A cabling formula for the 𝜈⁺ invariant

2015/12/08 by Zhongtao Wu · 1 citation
Mathematics · #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Advanced Combinatorial Mathematics

paper · pdf · doi:10.1090/proc/13029

Abstract

We prove a cabling formula for the concordance invariant <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="nu Superscript plus"> <mml:semantics> <mml:msup> <mml:mi> ν </mml:mi> <mml:mo>+</mml:mo> </mml:msup> <mml:annotation encoding="application/x-tex">ν ⁺</mml:annotation> </mml:semantics> </mml:math> </inline-formula> , defined by the author and Hom in a previous work. This gives rise to a simple and effective four-ball genus bound for many cable knots.

Citations

• Holomorphic disks and knot invariants

Cited by

• Surgeries on torus knots, rational balls, and cabling

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