A POLYNOMIAL INVARIANT FOR LINKS IN LENS SPACES-Reference-Cited by-同舟云学术

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A POLYNOMIAL INVARIANT FOR LINKS IN LENS SPACES

Published:2012-04-07 Issue:06 Volume:21 Page:1250060
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

CORNWELL CHRISTOPHER R.¹

Affiliation:

1. Department of Mathematics, Michigan State University, East Lansing, MI 48824, USA

Abstract

We prove the existence of a polynomial invariant that satisfies the HOMFLY skein relation for links in a lens space. In the process we also develop a skein theory of toroidal grid diagrams in a lens space.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216512500605

Reference14 articles.

1. Singular link Floer homology

2. On the Vassiliev knot invariants

3. PERTURBATIVE CHERN-SIMONS THEORY

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1. Homflypt skein theory, string topology and 2-categories;Journal of Knot Theory and Its Ramifications;2021-11

2. Knot Invariants in Lens Spaces;Knots, Low-Dimensional Topology and Applications;2019

3. Diffeomorphic vs Isotopic Links in Lens Spaces;Mediterranean Journal of Mathematics;2018-07-02

4. Virtual quandle for links in lens spaces;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2017-10-06

5. Equivalence of two diagram representations of links in lens spaces and essential invariants;Acta Mathematica Hungarica;2015-02-24

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