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Virtual Yang-Baxter cocycle invariants

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arxiv 0708.4254 v2 pith:45652MQI submitted 2007-08-31 math.GT math.QA

Virtual Yang-Baxter cocycle invariants

Jose Ceniceros , Sam Nelson This is my paper
classification math.GT math.QA
keywords virtualinvariantsknotsyang-baxtercocycleclassicalcocycleslinks
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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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