159 citations · 257 across the 13 of their papers we have counts for
13 papers
Morita Bicategories of Algebras and Duality Involutions
Jonathan Lorand, Alessandro Valentino
The notion of a weak duality involution on a bicategory was recently introduced by Shulman in [arXiv:1606.05058]. We construct a weak duality involution on the fully dualisable par…
The Serre automorphism via homotopy actions and the Cobordism Hypothesis for oriented manifolds
Jan Hesse, Alessandro Valentino
We explicitly construct an SO(2)-action on a skeletal version of the 2-dimensional framed bordism bicategory. By the 2-dimensional Cobordism Hypothesis for framed manifolds, we obt…
Frobenius algebras and homotopy fixed points of group actions on bicategories
Jan Hesse, Christoph Schweigert, Alessandro Valentino
We explicitly show that symmetric Frobenius structures on a finite-dimensional, semi-simple algebra stand in bijection to homotopy fixed points of the trivial SO(2)-action on the b…
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…
Boundary Conditions for Topological Quantum Field Theories, Anomalies and Projective Modular Functors
Domenico Fiorenza, Alessandro Valentino
We study boundary conditions for extended topological quantum field theories (TQFTs) and their relation to topological anomalies. We introduce the notion of TQFTs with moduli level…
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…