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

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

2012-01-29

arxiv.org/abs/1201.6068v1

Mathematics

Geometric Topology

26 pages, 12 figures

Scientific paper

We use a link invariant defined by Cimasoni-Florens to compute certain
rho-invariants. This generalizes results of Cochran-Orr-Teichner and Friedl on
the rho-invariants of 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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