Virtual Yang-Baxter cocycle invariants
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- by Jose Ceniceros and Sam Nelson PDF
- Trans. Amer. Math. Soc. 361 (2009), 5263-5283 Request permission
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.References
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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
- MR Author ID: 680349
- Email: knots@esotericka.org
- Received by editor(s): September 6, 2007
- Published electronically: April 8, 2009
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 361 (2009), 5263-5283
- MSC (2000): Primary 57M27, 18G60
- DOI: https://doi.org/10.1090/S0002-9947-09-04751-5
- MathSciNet review: 2515811