On the Alexander polynomial of links in lens spaces

Authors :: Horvat, Eva
Gabrovšek, Boštjan
Source :: Journal of Knot Theory and Its Ramifications, vol. 28, no. 08 (2019)
Publication Year :: 2016
Abstract: We show how the Alexander polynomial of links in lens spaces is related to the classical Alexander polynomial of a link in the 3-sphere, obtained by cutting out the exceptional lens space fibre. It follows from these relationship that a certain normalization of the Alexander polynomial satisfies a skein relation in lens spaces.<br />Comment: 23 pages, 8 figures

Subjects :: Mathematics - Geometric Topology
57M27, 57M05 (primary), 57M25 (secondary)

Database :: arXiv
Journal :: Journal of Knot Theory and Its Ramifications, vol. 28, no. 08 (2019)
Publication Type :: Report
Accession number :: edsarx.1606.03224
Document Type :: Working Paper
Full Text :: https://doi.org/10.1142/S0218216519500494