The Alexander polynomial of links in lens spaces-Reference-Cited by-同舟云学术

The Alexander polynomial of links in lens spaces

Published:2019-07 Issue:08 Volume:28 Page:1950049
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Horvat E.¹,Gabrovšek Boštjan²³

Affiliation:

1. Faculty of Education, University of Ljubljana, Kardeljeva ploščad 16, SI-1000 Ljubljana, Slovenia

2. Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 19, SI-1000 Ljubljana, Slovenia

3. Faculty of Mechanical Engineering, Aškerčeva 6, SI-1000 Ljubljana, Slovenia

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 fiber. It follows from this relationship that a certain normalization of the Alexander polynomial satisfies a skein relation in lens spaces.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216519500494

Reference26 articles.

1. Topological invariants of knots and links

2. On knots and links in lens spaces

3. Equivalence of two diagram representations of links in lens spaces and essential invariants

4. Braid equivalences in 3-manifolds with rational surgery description

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