Bordism Invariants of the Mapping Class Group

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dc.creatorHeap, Aaron
dc.date2005-02-28
dc.date.accessioned2026-07-07T05:17:33Z
dc.date.available2026-07-07T05:17:33Z
dc.descriptionWe define new bordism and spin bordism invariants of certain subgroups of the mapping class group of a surface. In particular, they are invariants of the Johnson filtration of the mapping class group. The second and third terms of this filtration are the well-known Torelli group and Johnson subgroup, respectively. We introduce a new representation in terms of spin bordism, and we prove that this single representation contains all of the information given by the Johnson homomorphism, the Birman-Craggs homomorphism, and the Morita homomorphism.
dc.description34 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/math/0502587
dc.identifierhttp://arxiv.org/abs/math/0502587
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74346
dc.subjectGeometric Topology
dc.subjectAlgebraic Topology
dc.subject57M (Primary) 55 (Secondary)
dc.titleBordism Invariants of the Mapping Class Group
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