L2-Burau maps and L2-Alexander torsions

Ben Aribi, Fathi;Conway, Anthony;et.al.
(2018) Osaka Journal of Mathematics — Vol. 55, n° 3, p. 529-545 (2018)

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Authors
  • Ben Aribi, FathiUCLouvain
    Author
  • Conway, Anthony
    Author
  • et. al.
Abstract
It is well known that the Burau representation of the braid group can be used to recover the Alexander polynomial of the closure of a braid. We define L2-Burau maps and use them to compute some L2-Alexander torsions of links. As an application, we prove that the L2-Burau maps distinguish more braids than the Burau representation.
Affiliations
  • Université de Genève

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Ben Aribi, F., Conway, A., & et al. (2018). L2-Burau maps and L2-Alexander torsions. Osaka Journal of Mathematics, 55(3), 529-545. https://hdl.handle.net/2078.5/112672 (Original work published 2018)