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Twisted Alexander Invariants of Twisted Links

2012/02/07 by Daniel S. Silver, Susan G. Williams, Silver, Daniel S. +1
Mathematics · #37B40 #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Topology (math.GT) #Primary 57M25 #math.DS #math.GT #msc:37B10 #msc:37B40 #msc:57M25 #secondary 37B10

paper · pdf · doi:10.48550/arxiv.1202.1515

21 pages, 6 figures

arxiv created 2012/02/07 · arxiv updated 2012/02/08

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.

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