Computing the rho-invariants of links via the signature of colored links with applications to the linear independence of twist knots

Christopher William Davis

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arXiv · 1201.6068

Computing the rho-invariants of links via the signature of colored links with applications to the linear independence of twist knots

Christopher William Davis

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Abstract

We use a link invariant defined by Cimasoni-Florens to compute ρ-invariants. This generalizes results of Cochran-Teichner and Friedl on knots to the setting of links. As an application, we prove with only twelve possible exceptions that the twist knots of algebraic order two are linearly independent in the topological concordance group.

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BibTeX RIS

Christopher William Davis. 2013-04-11. Computing the rho-invariants of links via the signature of colored links with applications to the linear independence of twist knots. https://arxiv.org/abs/1201.6068

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