Representatives of the Thom class of a vector bundle

✍ Scribed by Michel Bauer; Frank Thuillier

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 1002 KB
• Volume: 25
• Category: Article
• ISSN: 0393-0440
• DOI: 10.1016/s0393-0440(97)00019-3

✦ Synopsis

After a review of several methods designed to produce equivariant cohomology classes, we apply one introduced by Berline et al. (1992) to get a family of representatives of the universal Thorn class of a vector bundle. Surprisingly, this family does not contain the representative given by Mathai ' and Quillen (1986). However, it contains the particularly simple and symmetric representative of Harvey and Lawson (1993).