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# Homology of braid groups , the Burau representation , and F q-points on superelliptic curves

@inproceedings{Chen2015HomologyOB, title={Homology of braid groups , the Burau representation , and F q-points on superelliptic curves}, author={Weiyan Chen}, year={2015} }

- Published 2015

The (reduced) Burau representation Vn of the braid group Bn is obtained from the action of Bn on the homology of an infinite cyclic cover of the disc with n punctures. In this paper, we calculate H∗(Bn;Vn). As an application, we show that the expected number of Fq-points on a random superelliptic curve is equal to q.