Twisted Alexander Invariants of Twisted Links

Details Twisted Alexander Invariants of Twisted Links Twisted Alexander Invariants of Twisted Links

2012-02-07

arxiv.org/abs/1202.1515v1

Mathematics

Geometric Topology

21 pages, 6 figures

Scientific paper

Let L be an oriented (d+1)-component link in the 3-sphere, and let L(q) be the d-component link in a homology 3-sphere that results from performing 1/q-surgery on the last component. Results about the Alexander polynomial and twisted Alexander polynomials of L(q) corresponding to finite-image representations are obtained. The behavior of the invariants as q increases without bound is described.

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