Download or read book Group Actions on Stacks and Applications to Equivariant String Topology for Stacks written by Grégory Ginot and published by . This book was released on 2012 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper is a continuations of the project initiated in [BGNX]. We construct string operations on the S1-equivariant homology of the (free) loop space LX of an oriented differentiable stack X and show that HS1 dim X.2(LX) is a graded Lie algebra. In the particular case where X is a 2-dimensional orbifold we give a Goldman-type description for the string bracket. To prove these results, we develop a machinery of (weak) group actions on topological stacks which should be of independent interest. We explicitly construct the quotient stack of a group acting on a stack and show that it is a topological stack. Then use its homotopy type to define equivariant (co)homology for stacks, transfer maps, and so on.