String structures and trivialisations of a Pfaffian line bundle

Details String structures and trivialisations of a Pfaffian line bundle String structures and trivialisations of a Pfaffian line bundle

2009-09-04

arxiv.org/abs/0909.0846v3

Mathematics

K-Theory and Homology

42 pages, minor corrections

Scientific paper

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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