A homological representation formula of colored Alexander invariants

作者：Ito Tetsuya^*

来源：Advances in Mathematics, 2016, 289: 142-160.

DOI：10.1016/j.aim.2015.11.023

• Alexander polynomial
• Colored Alexander invariant
• (Truncated) Lawrence's representation

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.

• 出版日期2016-2-5