Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1895720 | Journal of Geometry and Physics | 2014 | 19 Pages |
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 S1S1-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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Andrés Larraín-Hubach, Yoshiaki Maeda, Steven Rosenberg, Fabián Torres-Ardila,