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On the Alexander polynomial and the signature invariant of two-bridge knots by Chen, Wenzhao is a scholarly article available to read on EtoBox.

What is On the Alexander polynomial and the signature invariant of two-bridge knots about?

Fox conjectured the Alexander polynomial of an alternating knot is trapezoidal, i.e. the coefficients first increase, then stabilize and finally decrease in a symmetric way. Recently, Hirasawa and Murasugi further conjectured a relation between the number of the stable coefficients in the Alexander polynomial and the signature invariant. In this paper we prove the Hirasawa-Murasugi conjecture for two-bridge knots.

Author

Chen, Wenzhao

Published

2017

Language

EN