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Virtual Yang-Baxter cocycle invariants
Author(s):
Jose
Ceniceros;
Sam
Nelson
Journal:
Trans. Amer. Math. Soc.
361
(2009),
5263-5283.
MSC (2000):
Primary 57M27, 18G60
Posted:
April 8, 2009
MathSciNet review:
2515811
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Additional information
Abstract:
We extend the Yang-Baxter cocycle invariants for virtual knots by augmenting Yang-Baxter 2-cocycles with cocycles from a cohomology theory associated to a virtual biquandle structure. These invariants coincide with the classical Yang-Baxter cocycle invariants for classical knots but provide extra information about virtual knots and links. In particular, they provide a method for detecting non-classicality of virtual knots and links.
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Additional Information:
Jose
Ceniceros
Affiliation:
Department of Mathematics, Whittier College, 13406 Philadelphia, P.O. Box 634, Whittier, California 90608-0634
Email:
jcenicer@poets.whittier.edu
Sam
Nelson
Affiliation:
Department of Mathematics, Claremont McKenna College, 850 Columbia Avenue, Claremont, California 91711
Email:
knots@esotericka.org
DOI:
10.1090/S0002-9947-09-04751-5
PII:
S 0002-9947(09)04751-5
Received by editor(s):
September 6, 2007
Posted:
April 8, 2009
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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