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Virtual Yang-Baxter cocycle invariants.
- Source :
-
Transactions of the American Mathematical Society . May2009, Vol. 361 Issue 10, p5263-5283. 21p. - Publication Year :
- 2009
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029947
- Volume :
- 361
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Transactions of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 42425968
- Full Text :
- https://doi.org/10.1090/S0002-9947-09-04751-5