The caloron correspondence and higher string classes for loop groups

JOURNAL OF GEOMETRY AND PHYSICS

卷:60

Article

Murray, Michael K.¹  Vozzo, Raymond F.¹ 

[1] Univ Adelaide, Sch Math Sci, Adelaide, SA 5005, Australia

关键词: Loop groups;    String class;    Caloron correspondence;   

DOI  :  10.1016/j.geomphys.2010.04.010

来源: Elsevier

【 摘 要 】

We review the caloron correspondence between G-bundles on M x SI and QC-bundles on M, where Omega G is the space of smooth loops in the compact Lie group G. We use the caloron correspondence to define characteristic classes for QC-bundles, called string classes, by transgression of characteristic classes of G-bundles. These generalise the string class of Killingback to higher-dimensional cohomology. (C) 2010 Elsevier B.V. All rights reserved.

【 授权许可】

Free