English

Twisted Alexander Invariants of Twisted Links

Geometric Topology 2012-02-08 v1 Dynamical Systems

Abstract

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.

Keywords

Cite

@article{arxiv.1202.1515,
  title  = {Twisted Alexander Invariants of Twisted Links},
  author = {Daniel S. Silver and Susan G. Williams},
  journal= {arXiv preprint arXiv:1202.1515},
  year   = {2012}
}

Comments

21 pages, 6 figures