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Sheaf theory for stacks in manifolds and twisted cohomology for<i>S</i><sup>1</sup>–gerbes
In this paper we give a sheaf theory interpretation of the twisted cohomology of manifolds.To this end we develop a sheaf theory on smooth stacks.The derived push-forward of the constant sheaf with value ޒ along the structure map of a U.1/ gerbe over a smooth manifold X is an object …