Homology of framed links embedded in thickened surfaces

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dc.creatorBoerner, Jeffrey
dc.date2008-10-30
dc.date.accessioned2026-07-07T10:14:29Z
dc.date.available2026-07-07T10:14:29Z
dc.descriptionWe construct an infinite family of homology theories of framed links in thickened surfaces, as well as a homology theory whose graded Euler characteristic is exactly the Kauffman bracket of the link in the surface. Both theories are based on ideas coming from Asaeda, Przytycki and Sikora's categorification of the Kauffman bracket skein module of I-bundles over surfaces. This is accomplished by borrowing ideas from Bar-Natan's Khovanov homology theory for tangles and cobordisms and using embedded surfaces to generate the chain groups, instead of diagrams.
dc.description21 pages, 22 figures
dc.identifierhttps://arxiv.org/abs/0810.5566
dc.identifierhttp://arxiv.org/abs/0810.5566
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172893
dc.subjectGeometric Topology
dc.subject57M27
dc.titleHomology of framed links embedded in thickened surfaces
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