A homological representation formula of colored Alexander invariants

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.

13 pages, 3 Figures

Cited by in corpus (4)

• Lawrence-Bigelow representations, bases and duality
• $U_q(sl(2))-$quantum invariants unified via intersections of embedded Lagrangians
• Homological and monodromy representations of framed braid groups
• ADO invariants directly from partial traces of homological representations