The universal gerbe, Dixmier-Douady class, and gauge theory

Alan L. Carey, Jouko Mickelsson

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)

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 languageEnglish
Pages (from-to)47-60
Number of pages14
JournalLetters in Mathematical Physics
Volume59
Issue number1
DOIs
Publication statusPublished - Jan 2002
Externally publishedYes

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