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arXiv 0909.0846math.KTmath.DG
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String structures and trivialisations of a Pfaffian line bundle

Ulrich Bunke

英文摘要:

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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