Signatures of links and finite type invariants of cyclic branched covers

Stavros Garoufalidis

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arXiv · math/9811021

Signatures of links and finite type invariants of cyclic branched covers

Stavros Garoufalidis

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Abstract

Recently, Mullins calculated the Casson-Walker invariant of the 2-fold cyclic branched cover of an oriented link in S^3 in terms of its Jones polynomial and its signature, under the assumption that the 2-fold branched cover is a rational homology 3-sphere. Using elementary principles, we provide a similar calculation for the general case. In addition, we calculate the LMO invariant of the p-fold branched cover of twisted knots in S^3 in terms of the Kontsevich integral of the knot.

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Stavros Garoufalidis. 1998-11-04. Signatures of links and finite type invariants of cyclic branched covers. https://arxiv.org/abs/math/9811021

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