ORIENTED QUANTUM ALGEBRAS, CATEGORIES AND INVARIANTS OF KNOTS AND LINKS-Reference-Cited by-同舟云学术

ORIENTED QUANTUM ALGEBRAS, CATEGORIES AND INVARIANTS OF KNOTS AND LINKS

Published:2001-11 Issue:07 Volume:10 Page:1047-1084
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

KAUFFMAN LOUIS¹,RADFORD DAVID E.¹

Affiliation:

1. Department of Mathematics, Statistics and Computer Science (m/c 249), 851 South Morgan Street, University of Illinois at Chicago, Chicago, Illinois 60607-7045, USA

Abstract

This paper defines the concept of an oriented quantum algebra and develops its application to the construction of quantum link invariants. We show, in fact, that all known quantum link invariants can be put into this framework.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216501001268

Reference15 articles.

1. Invariants of Links and 3-Manifolds Obtained from Hopf Algebras

2. On knot invariants related to some statistical mechanical models

3. State models and the jones polynomial

4. GAUSS CODES, QUANTUM GROUPS AND RIBBON HOPF ALGEBRAS

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