Consistent Orientation of Moduli Spaces

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dc.creatorFreed, Daniel S.
dc.creatorHopkins, Michael J.
dc.creatorTeleman, Constantin
dc.date2007-11-13
dc.date2007-12-19
dc.date.accessioned2026-07-07T08:49:59Z
dc.date.available2026-07-07T08:49:59Z
dc.descriptionWe give an a priori construction of the two-dimensional reduction of three-dimensional quantum Chern-Simons theory. This reduction is a two-dimensional topological quantum field theory and so determines to a Frobenius ring, which here is the twisted equivariant K-theory of a compact Lie group. We construct the theory via correspondence diagrams of moduli spaces, which we "linearize" using complex K-theory. A key point in the construction is to consistently orient these moduli spaces to define pushforwards; the consistent orientation induces twistings of complex K-theory. The Madsen-Tillmann spectra play a crucial role.
dc.description21 pages, dedicated to Nigel Hitchin on the occasion of his 60th birthday. Version 2 for publication has additional text in section 3 and makes minor corrections
dc.identifierhttps://arxiv.org/abs/0711.1909
dc.identifierhttp://arxiv.org/abs/0711.1909
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144468
dc.subjectAlgebraic Topology
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectK-Theory and Homology
dc.titleConsistent Orientation of Moduli Spaces
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