String Topology for Stacks

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We establish String Topology in the framework of Differentiable Stacks. The machinery that we develop allows us to treat on an equal footing free loops in stacks and hidden loops. We will discuss various issues including mapping stacks, Gysin maps and oriented stacks. Some examples, including including the case of the classifying stacks $[*/G]$ of a compact Lie group, will be discussed.

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