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arXiv · 0909.0846

String structures and trivialisations of a Pfaffian line bundle

Ulrich Bunke
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Abstract

The present paper is a contribution to categorial index theory. Its main result is the calculation of the Pfaffian line bundle of a certain family of real Dirac operators as an object in the category of line bundles. Furthermore, it is shown how string structures give rise to trivialisations of that Pfaffian.

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Ulrich Bunke. 2009-09-04. String structures and trivialisations of a Pfaffian line bundle. https://arxiv.org/abs/0909.0846

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