Knizhnik-Zamolodchikov bundles are topologically trivial

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dc.creatorMarin, Ivan
dc.date2008-09-21
dc.date.accessioned2026-07-07T10:04:19Z
dc.date.available2026-07-07T10:04:19Z
dc.descriptionWe prove that the vector bundles at the core of the Knizhnik-Zamolodchikov and quantum constructions of braid groups representations are topologically trivial bundles. We provide partial generalizations of this result to generalized braid groups. A crucial intermediate result is that the representation ring of the symmetric group on n letters is generated by the alternating powers of its natural n-dimensional representation.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/0809.3590
dc.identifierhttp://arxiv.org/abs/0809.3590
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169631
dc.subjectQuantum Algebra
dc.subjectAlgebraic Topology
dc.subject57R22, 20F36, 20C30
dc.titleKnizhnik-Zamolodchikov bundles are topologically trivial
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