Stochastic equivariant cohomologies and cyclic cohomology

• 成果类型: Article
• 署名作者: Léandre, R
• 署名单位: Universite Bourgogne Europe
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/009117905000000170
• 发表日期: 2005
• 页码: 1544-1572
• 关键词: hodge-kodaira decomposition; loop space; differential forms; Brownian bridge; index theorem; chen-souriau; HOMOLOGY; calculus; bundle

摘要

We give two stochastic diffeologies on the free loop space which allow us to define stochastic equivariant cohomology theories in the Chen-Souriau sense and to establish a link with cyclic cohomology. With the second one, we can establish a stochastic fixed point theorem.