Thom Prospectra for Loopgroup representations

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dc.creatorKitchloo, Nitu
dc.creatorMorava, Jack
dc.date2004-04-29
dc.date.accessioned2026-07-07T05:07:49Z
dc.date.available2026-07-07T05:07:49Z
dc.descriptionWe construct an S^1-equivariant prospectrum that models the Atiyah dual of a free loop space of a manifold. By applying a suitably completed S^1-equivariant K-theory to the Atiyah dual, we show how to recover the Witten genus of the manifold. The main technical tool is a Tits building for the loop group. We use this building to construct a dualizing spectrum for the loop group and relate it to work of Freed, Hopkins and Teleman.
dc.identifierhttps://arxiv.org/abs/math/0404541
dc.identifierhttp://arxiv.org/abs/math/0404541
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71011
dc.subjectAlgebraic Topology
dc.subject22E6, 55N34, 55P35
dc.titleThom Prospectra for Loopgroup representations
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