Signatures of links and finite type invariants of cyclic branched covers | Zendy

Stavros Garoufalidis | Zendy

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Signatures of links and finite type invariants of cyclic branched covers

Author(s) -

Stavros Garoufalidis

Publication year - 1999

Publication title -

contemporary mathematics - american mathematical society

Language(s) - English

Resource type - Reports

SCImago Journal Rank - 0.106

H-Index - 12

eISSN - 1098-3627

pISSN - 0271-4132

DOI - 10.1090/conm/231/03355

Subject(s) - mathematics , type (biology) , pure mathematics , combinatorics , algebra over a field , discrete mathematics , paleontology , geology

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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