Work

Surgeries on torus knots, rational balls, and cabling

Year: 2026

Type: article

Abstract: We classify which positive integral surgeries on positive torus knots bound rational homology balls. Additionally, for a given knot K we consider which cables K p , q admit integral surgeries that bound rational homology balls. For such cables, let 𝒮 ( K ) be the set of corresponding rational numbers q p . We show that 𝒮 ( K ) is bounded for each K . Moreover, if n -surgery on K bounds a rational homology ball then n is an accumulation point for 𝒮 ( K ) .

Source: Annales de l’institut Fourier

DOI: 10.5802/aif.3772

Authors: Paolo Aceto, Marco Golla, Kyle Larson, Ana G. Lecuona

Institutions: Université de Lille, Laboratoire Paul Painlevé, Centre National de la Recherche Scientifique, Laboratoire de Mathématiques Jean Leray, Nantes Université, University of Georgia, University of Glasgow

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7140628006

FWCI:

Cites: 45

Cited by: 3

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