Signatures of links and finite type invariants of cyclic branched covers

Details Signatures of links and finite type invariants of cyclic branched covers Signatures of links and finite type invariants of cyclic branched covers

1998-11-04

arxiv.org/abs/math/9811021v1

Mathematics

Geometric Topology

Latex, 11 pages with 5 figures

Scientific paper

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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