Homotopy quantum field theory and the index gerbe

U. Bunke

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arXiv · math/0201277

Homotopy quantum field theory and the index gerbe

U. Bunke

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Abstract

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.

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U. Bunke. 2002-01-29. Homotopy quantum field theory and the index gerbe. https://arxiv.org/abs/math/0201277

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