Consistent Orientation of Moduli Spaces

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We 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.
21 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

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Algebraic Topology, High Energy Physics - Theory, Mathematical Physics, K-Theory and Homology

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http://salesiana.dossiersoluciones.com/handle/123456789/144468

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0711.1909
 http://arxiv.org/abs/0711.1909

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arXiv