Abstract
Infinite rank vector bundles often appear as pushdowns of finite rank bundles from the total space of a fibration to the base space. The infinite rank bundles have string and leading order characteristic classes related to the characteristic classes of the finite rank bundles. We rewrite the S1-index theorem as a statement about equivariant leading order classes on loop spaces, interpret certain Gromov-Witten invariants in terms of leading order and string classes, show that the generators of the cohomology of a loop group are Chern-Simons string classes, and relate Donaldson invariants to leading order currents.
Original language | English |
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Pages (from-to) | 34-52 |
Number of pages | 19 |
Journal | Journal of Geometry and Physics |
Volume | 79 |
DOIs | |
Publication status | Published - 2014 May |
Keywords
- Characteristic classes
- Donaldson classes
- Equivariant index theorem
- Gromov-Witten invariants
- Infinite rank bundles
- Loop group cohomology
ASJC Scopus subject areas
- Mathematical Physics
- Physics and Astronomy(all)
- Geometry and Topology