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Symmetric links and Conway sums: volume and Jones polynomial

arXiv:0804.1542 · doi:10.4310/MRL.2009.v16.n2.a3

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.

18 pages, 7 figures. Revised according to referee's comments. To appear in Mathematical Research Letters.