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Twisted Alexander polynomial for the Lawrence-Krammer representation

Published online by Cambridge University Press:  17 April 2009

Masaaki Suzuki
Masaaki Suzuki
Affiliation:
Graduate School of Mathematical Sciences University of Tokyo, 3–8–1 Komaba, Meguro, Tokyo 153–8914, Japan, e-mail: macky@ms.u-tokyo.ac.jp
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In this paper, we prove that the twisted Alexander polynomial for the Lawrence-Krammer representation of the braid group B4 is trivial. This gives an answer to the problem of whether the twisted Alexander polynomial for given faithful representations is always non-trivial.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 70 , Issue 1 , August 2004 , pp. 67 - 71
Copyright
Copyright © Australian Mathematical Society 2004

References

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