TWISTED ALEXANDER POLYNOMIALS OF 2-BRIDGE KNOTS-Reference-Cited by-同舟云学术

TWISTED ALEXANDER POLYNOMIALS OF 2-BRIDGE KNOTS

Published:2013-01 Issue:01 Volume:22 Page:1250138
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

HOSTE JIM¹,SHANAHAN PATRICK D.²

Affiliation:

1. Pitzer College, 1050 N. Mills Ave, Claremont CA 91711, USA

2. Department of Mathematics, Loyola Marymount University, 1 LMU Drive, Los Angeles CA 90045, USA

Abstract

We investigate the twisted Alexander polynomial of a 2-bridge knot associated to a Fox coloring. For several families of 2-bridge knots, including but not limited to, torus knots and genus-one knots, we derive formulae for these twisted Alexander polynomials. We use these formulae to confirm a conjecture of Hirasawa and Murasugi for these knots.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216512501386

Reference7 articles.

1. de Gruyter Studies in Mathematics;Burde G.,2003

2. On two-bridged knot polynomials

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