Open Access
Translator Disclaimer
2017 Three approaches to a bracket polynomial for singular links
Carmen Caprau, Alex Chichester, Patrick Chu
Involve 10(2): 197-218 (2017). DOI: 10.2140/involve.2017.10.197

Abstract

In this paper we extend the Kauffman bracket to singular links. Specifically, we define a polynomial invariant for singular links, and in doing this, we consider three approaches to our extended Kauffman bracket polynomial: (1) using skein relations involving singular link diagrams, (2) using representations of the singular braid monoid, (3) via a Yang–Baxter state model. We also study some properties of the extended Kauffman bracket.

Citation

Download Citation

Carmen Caprau. Alex Chichester. Patrick Chu. "Three approaches to a bracket polynomial for singular links." Involve 10 (2) 197 - 218, 2017. https://doi.org/10.2140/involve.2017.10.197

Information

Received: 29 June 2014; Revised: 28 January 2015; Accepted: 17 August 2015; Published: 2017
First available in Project Euclid: 13 December 2017

zbMATH: 1355.57004
MathSciNet: MR3574297
Digital Object Identifier: 10.2140/involve.2017.10.197

Subjects:
Primary: 57M25 , 57M27

Keywords: invariants for knots and links , Kauffman bracket , singular braids and links , Yang–Baxter equation

Rights: Copyright © 2017 Mathematical Sciences Publishers

JOURNAL ARTICLE
22 PAGES


SHARE
Vol.10 • No. 2 • 2017
MSP
Back to Top