2003/07/29 by Kiyonori Gomi, Gomi, Kiyonori
Mathematics · #Advanced Algebra and Geometry #Algebraic Topology (math.AT) #Differential Geometry (math.DG) #FOS: Mathematics #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #math.AT #math.DG
paper · pdf · doi:10.48550/arxiv.math/0307373
27 pages. Uses XyPic
arxiv created 2003/07/29 · openalex publication_date 2003/07/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
On the basis of Brylinski's work, we introduce a notion of equivariant smooth Deligne cohomology group, which is a generalization of both the ordinary smooth Deligne cohomology and the ordinary equivariant cohomology. Using the cohomology group, we classify equivariant circle bundles with connection, and equivariant gerbes with connection.