%0 Journal Article
%T The homological content of the Jones representations at $q = -1$
%A Jens Kristian Egsgaard
%A S£¿ren Fuglede J£¿rgensen
%J Mathematics
%D 2014
%I arXiv
%X We generalize a discovery of Kasahara and show that the Jones representations of braid groups, when evaluated at $q = -1$, are related to the action on homology of a branched double cover of the underlying punctured disk. As an application, we prove for a large family of pseudo-Anosov mapping classes a conjecture put forward by Andersen, Masbaum, and Ueno by extending their original argument for the sphere with four marked points to our more general case.
%U http://arxiv.org/abs/1402.6059v1