Conneted sum of representations of knot groups

Jinseok Cho

Conneted sum of representations of knot groups

Geometric Topology 2016-03-04 v4

Authors: Jinseok Cho

Abstract

When two boundary-parabolic representations of knot groups are given, we introduce the connected sum of these representations and show several natural properties including the unique factorization property. Furthermore, the complex volume of the connected sum is the sum of each complex volumes modulo $i\pi^2$ and the twisted Alexander polynomial of the connected sum is the product of each polynomials with normalization.

Keywords

knot groups boundary-parabolic representations connected sum complex volume twisted alexander polynomial unique factorization

Cite

@article{arxiv.1412.6970,
  title  = {Conneted sum of representations of knot groups},
  author = {Jinseok Cho},
  journal= {arXiv preprint arXiv:1412.6970},
  year   = {2016}
}

Comments

After the publication of this article, serious errors were found. The author wanted to preserve the content of the publication, so he added the errata in the appendix

Conneted sum of representations of knot groups

Abstract

Keywords

Cite

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