Waldorf, Konrad (2013) STRING CONNECTIONS AND CHERN-SIMONS THEORY. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 365 (8): PII 0002-9. pp. 4393-4432. ISSN 0002-9947, 1088-6850
Full text not available from this repository. (Request a copy)Abstract
We present a finite-dimensional and smooth formulation of string structures on spin bundles. It uses trivializations of the Chern-Simons 2-gerbe associated to this bundle. Our formulation is particularly suitable to deal with string connections: it enables us to prove that every string structure admits a string connection and that the possible choices form an affine space. Further we discover a new relation between string connections, 3-forms on the base manifold, and degree three differential cohomology. We also discuss in detail the relation between our formulation of string connections and the original version of Stolz and Teichner.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | DEGREE-4 CHARACTERISTIC CLASSES; BUNDLE GERBES; LOOP-SPACES; LINE BUNDLES; GEOMETRY; TOPOLOGY; 2-GROUPS; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Ulrich Bunke |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 03 Apr 2020 07:12 |
| Last Modified: | 03 Apr 2020 07:12 |
| URI: | https://pred.uni-regensburg.de/id/eprint/16262 |
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