Homotopy quantum field theory and the index gerbe

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Given a family of Dirac operators with vanishing spectral flow we construct a thin-invariant rank-one field theory in the sense of Turner and Willerton arXiv:math.AT/0201116. Our construction of the field theory generalizes the one of the index gerbe by Lott, arXiv:math.DG/0106177, and it also complements the relation between gerbes and thin-invariant rank-one field theories studied in arXive:math.AT/0201116.
9 pages

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Differential Geometry, Algebraic Topology, 58J28

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http://salesiana.dossiersoluciones.com/handle/123456789/63224

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0201277
 http://arxiv.org/abs/math/0201277

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arXiv