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math.AT2015★ 2 cited
Central extensions of mapping class groups from characteristic classes
Domenico Fiorenza, Urs Schreiber, Alessandro Valentino
We characterize, for every higher smooth stack equipped with "tangential structure", the induced higher group extension of the geometric realization of its higher automorphism stac…
math.AT2014
A Serre-Swan theorem for gerbe modules on étale Lie groupoids
Christoph Schweigert, Christopher Tropp, Alessandro Valentino
Given a bundle gerbe on a compact smooth manifold or, more generally, on a compact étale Lie groupoid , we show that the corresponding category of gerbe modules, if it is non-tr…