Symmetric links and Conway sums: volume and Jones polynomial
David Futer, Efstratia Kalfagianni, Jessica S. Purcell
TL;DR
This paper establishes bounds on the hyperbolic volume of certain links, including periodic links and Conway sums of alternating tangles, and relates these bounds to Jones polynomial coefficients.
Contribution
It introduces new volume bounds for periodic links and Conway sums, linking geometric properties to polynomial invariants.
Findings
Bounds on hyperbolic volume for periodic links
Volume bounds for Conway sums of alternating tangles
Relation between Jones polynomial coefficients and hyperbolic volume
Abstract
We obtain bounds on hyperbolic volume for periodic links and Conway sums of alternating tangles. For links that are Conway sums we also bound the hyperbolic volume in terms of the coefficients of the Jones polynomial.
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