48 citations · 110 across the 13 of their papers we have counts for
5 papers · 1 filter
Constructing the Virasoro groups using differential cohomology
Arun Debray, Yu Leon Liu, Christoph Weis
The Virasoro groups are a family of central extensions of , the group of orientation-preserving diffeomorphisms of , by the circle group . We…
Differential Cohomology: Categories, Characteristic Classes, and Connections
Araminta Amabel, Arun Debray, Peter J. Haine
We give an overview of differential cohomology from a modern, homotopy-theoretic perspective in terms of sheaves on manifolds. Although modern techniques are used, we base our disc…
The anomaly that was not meant IIB
Arun Debray, Markus Dierigl, Jonathan J. Heckman +1
Type IIB supergravity enjoys a discrete non-Abelian duality group, which has potential quantum anomalies. In this paper we explicitly compute these, and present the bordism group t…
Stable diffeomorphism classification of some unorientable 4-manifolds
Arun Debray
Kreck's modified surgery theory reduces the classification of closed, connected 4-manifolds, up to connect sum with some number of copies of , to a series of bordism…
Invertible phases for mixed spatial symmetries and the fermionic crystalline equivalence principle
Arun Debray
Freed-Hopkins give a mathematical ansatz for classifying gapped invertible phases of matter with a spatial symmetry in terms of Borel-equivariant generalized homology. We propose a…