Homology of the braid group with coefficients in the reduced Burau representation

Abstract

The reduced Burau representation $V_n$ of the braid group $B_n$ is obtained from the action of $B_n$ on the homology of an infinite cyclic cover of the $n$-punctured disc. In this note, we calculate $H_{\ast }(B_n;V_n)$ as a module over the Laurent polynomial ring $\mathbb{Q}[t,t^{-1}]$.

6 pages. This paper has been withdrawn by the author because it is subsumed by arXiv:1506.02189

References in corpus (1)

• Artin groups of type B and D