Virtual Yang-Baxter cocycle invariants

Simple item page
dc.creatorCeniceros, Jose
dc.creatorNelson, Sam
dc.date2007-08-31
dc.date2008-02-22
dc.date.accessioned2026-07-07T09:22:11Z
dc.date.available2026-07-07T09:22:11Z
dc.descriptionWe 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.
dc.description17 pages, many pictures. To appear in Trans. Amer. Math. Soc. Version 2 includes minor typo corrections
dc.identifierhttps://arxiv.org/abs/0708.4254
dc.identifierhttp://arxiv.org/abs/0708.4254
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/155289
dc.subjectGeometric Topology
dc.subjectQuantum Algebra
dc.subject57M27, 18G60
dc.titleVirtual Yang-Baxter cocycle invariants
dc.typetext

Files

Collections

arXiv