English

The ${\rm SL}(2,\mathbb{C})$-character variety of the Borromean link

Geometric Topology 2025-01-24 v3

Abstract

For the Borromean link, we determine its irreducible SL(2,C){\rm SL}(2,\mathbb{C})-character variety, and find a formula for the twisted Alexander polynomial as a function on the character variety.

Keywords

Cite

@article{arxiv.2202.07429,
  title  = {The ${\rm SL}(2,\mathbb{C})$-character variety of the Borromean link},
  author = {Haimiao Chen and Tiantian Yu},
  journal= {arXiv preprint arXiv:2202.07429},
  year   = {2025}
}

Comments

Final version, accepted by Acta Mathematica Hungrica