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On chain link surgeries bounding rational homology balls and χ-slice 3-braid closures

2023/01/16 by Brejevs, Vitalijs, Simone, Jonathan
#FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2301.06573

Abstract

We determine which integral surgeries on a large class of circular chain links bound rational homology balls. Our key tool is the lattice-theoretic cubiquity obstruction recently developed by Greene and Owens. We discuss a practical method of computing it, and, as an application, prove that a generalisation of the slice--ribbon conjecture holds for all but one infinite family of quasi-alternating 3-braid links. This extends previous results of Lisca concerning the conjecture for 3-braid knots.

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