Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1894153 | Journal of Geometry and Physics | 2010 | 16 Pages |
Abstract
We review the caloron correspondence between GG-bundles on M×S1M×S1 and ΩG-bundles on MM, where ΩG is the space of smooth loops in the compact Lie group GG. We use the caloron correspondence to define characteristic classes for ΩG-bundles, called string classes, by transgression of characteristic classes of GG-bundles. These generalise the string class of Killingback to higher-dimensional cohomology.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Michael K. Murray, Raymond F. Vozzo,