Quandle Homology Groups, Their Betti Numbers, and Virtual Knots

Simple item page
dc.creatorCarter, J. Scott
dc.creatorJelsovsky, Daniel
dc.creatorKamada, Seiichi
dc.creatorSaito, Masahico
dc.date1999-09-28
dc.date.accessioned2026-07-07T05:30:55Z
dc.date.available2026-07-07T05:30:55Z
dc.descriptionLower bounds of betti numbers for homology groups of racks and quandles will be given using the quotient homomorphism to the orbit quandles. Exact sequences relating various types of homology groups are analyzed. Geometric methods of proving non-triviality of cohomology groups are also given, using virtual knots. The results can be applied to knot theory as the first step towards evaluationg the state-sum invariants defined from quandle cohomology.
dc.description22 pages, about 6 figures (eps), latex
dc.identifierhttps://arxiv.org/abs/math/9909161
dc.identifierhttp://arxiv.org/abs/math/9909161
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79157
dc.subjectGeometric Topology
dc.subjectAlgebraic Topology
dc.subject57M25,57T99
dc.titleQuandle Homology Groups, Their Betti Numbers, and Virtual Knots
dc.typetext

Files

Collections

arXiv