English

A homological representation formula of colored Alexander invariants

Geometric Topology 2017-04-10 v1

Abstract

We give a formula of the colored Alexander invariant in terms of the homological representation of the braid groups which we call truncated Lawrence's representation. This formula generalizes the famous Burau representation formula of the Alexander polynomial.

Keywords

Cite

@article{arxiv.1505.02841,
  title  = {A homological representation formula of colored Alexander invariants},
  author = {Tetsuya Ito},
  journal= {arXiv preprint arXiv:1505.02841},
  year   = {2017}
}

Comments

13 pages, 3 Figures