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String structures and trivialisations of a Pfaffian line bundle

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.

preprint2011arXivOpen access
Ulrich Bunke
math.KTmath.DG
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Ulrich Bunke

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