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Twisted Alexander polynomial for the Braid group

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Publication:2748261
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DOI10.1017/S0004972700019626zbMath1008.20028MaRDI QIDQ2748261

Takayuki Morifuji

Publication date: 11 March 2002

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)


zbMATH Keywords

Artin braid groupsBurau representationtwisted Alexander polynomialsJones representation


Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Braid groups; Artin groups (20F36) Topological methods in group theory (57M07)


Related Items (5)

Twisted Alexander invariants for the braid group associated with the Tong–Yang–Ma representation ⋮ Unnamed Item ⋮ Twisted Alexander polynomials of twist knots for nonabelian representations ⋮ A Torres condition for twisted Alexander polynomials ⋮ Dynamics of twisted Alexander invariants



Cites Work

  • Hecke algebra representations of braid groups and link polynomials
  • Twisted Alexander invariants, Reidemeister torsion, and Casson-Gordon invariants
  • Twisted Alexander polynomial for finitely presentable groups
  • The Burau representation is not faithful for \(n=5\)
  • Twisted Alexander polynomial and Reidemeister torsion


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