Abstract
We clarity the relation between the Dixmier-Douady class on the space of self-adjoint Fredholm operators ("universal B-field") and the curvature of determinant bundles over infinite-dimensional Grassmannians. In particular, in the case of Dirac type operators on a three dimensional compact manifold we obtain a simple and explicit expression for both forms.
Original language | English |
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Pages (from-to) | 47-60 |
Number of pages | 14 |
Journal | Letters in Mathematical Physics |
Volume | 59 |
Issue number | 1 |
DOIs | |
Publication status | Published - Jan 2002 |
Externally published | Yes |