Geodesic
Homfly polynomials of generalized Hopf links
Morton, Hugh R1 ; Hadji, Richard J1
1Department of Mathematical Sciences, University of Liverpool, Peach Street, Liverpool, L69 3ZL, UK
Algebraic and Geometric Topology, Tome 2 (2002) no. 1, pp. 11-32
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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.

DOI : 10.2140/agt.2002.2.11
Keywords: Hopf link, satellites, reverse parallels, Homfly polynomial

Morton, Hugh R  1   ; Hadji, Richard J  1

1 Department of Mathematical Sciences, University of Liverpool, Peach Street, Liverpool, L69 3ZL, UK 
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Morton, Hugh R; Hadji, Richard J. Homfly polynomials of generalized Hopf links. Algebraic and Geometric Topology, Tome 2 (2002) no. 1, pp. 11-32. doi: 10.2140/agt.2002.2.11

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