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arXiv:1209.4239 [math.GT]AbstractReferencesReviewsResources

On a conjecture of Dunfield, Friedl and Jackson

Takayuki Morifuji

Published 2012-09-19, updated 2012-10-23Version 3

In this short note, we show that the twisted Alexander polynomial associated to a parabolic SL(2,C)-representation detects genus and fibering of the twist knots. As a corollary, a conjecture of Dunfield, Friedl and Jackson is proved for the hyperbolic twist knots.

Comments: 4 pages, 1 figure; final version, to appear in C. R. Acad. Sci. Paris, Ser. I
Categories: math.GT
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