Homfly Polynomials of Generalized Hopf Links

Morton, Hugh R ORCID: 0000-0002-8524-2695 and Hadji, Richard J (2001) Homfly Polynomials of Generalized Hopf Links. Algebr. Geom. Topol., 2 (1). pp. 11-32.

Text
mortonhadji.pdf - Author Accepted Manuscript
Download (285kB)

Official URL: http://dx.doi.org/10.2140/agt.2002.2.11

Abstract

Following the recent work by T.-H. Chan in [HOMFLY polynomial of some generalized Hopf links, J. Knot Theory Ramif. 9 (2000) 865--883] on reverse string parallels of the Hopf link we give an alternative approach to finding the Homfly polynomials of these links, based on the Homfly skein of the annulus. We establish that two natural skein maps have distinct eigenvalues, answering a question raised by Chan, and use this result to calculate the Homfly polynomial of some more general reverse string satellites of the Hopf link.

Item Type:	Article
Additional Information:	Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol2/agt-2-2.abs.html
Uncontrolled Keywords:	math.GT, math.GT, 57M25
Depositing User:	Symplectic Admin
Date Deposited:	25 Nov 2016 16:57
Last Modified:	19 Jan 2023 07:25
DOI:	10.2140/agt.2002.2.11
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3004671