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}
}
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. 

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