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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Communicated by N.A. Nekrasov
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Bunke, U. String Structures and Trivialisations of a Pfaffian Line Bundle. Commun. Math. Phys. 307, 675–712 (2011). https://doi.org/10.1007/s00220-011-1348-0
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DOI: https://doi.org/10.1007/s00220-011-1348-0