17 citations · 39 across the 11 of their papers we have counts for
13 papers
Infinitesimal symmetries of bundle gerbes and Courant algebroids
Dinamo Djounvouna, Derek Krepski
Let be a smooth manifold and let be closed differential form with integral periods. We show the Lie 2-algebra of sections of the -twisted Courant algebroid on…
Sheaves, principal bundles, and Čech cohomology for diffeological spaces
Derek Krepski, Jordan Watts, Seth Wolbert
The purpose of this note is to define sheaves for diffeological spaces and give a construction of their Čech cohomology. As an application, we prove that the first degree Čech coho…
Multiplicative vector fields on bundle gerbes
Derek Krepski, Jennifer Vaughan
Infinitesimal symmetries of -bundle gerbes are modelled with multiplicative vector fields on Lie groupoids. It is shown that a connective structure on a bundle gerbe gives ris…
Basic equivariant gerbes on non-simply connected compact simple Lie groups
Derek Krepski
This paper computes the obstruction to the existence of equivariant extensions of basic gerbes over non-simply connected compact simple Lie groups. By modifying a (finite dimension…
Differential Cocycles and Dixmier-Douady Bundles
Derek Krepski, Jordan Watts
This paper exhibits equivalences of 2-stacks between certain models of -gerbes and differential 3-cocycles. We focus primarily on the model of Dixmier-Douady bundles,…
Groupoid equivariant prequantization
Derek Krepski
In their 2005 paper, C. Laurent-Gengoux and P. Xu define prequantization for pre-Hamiltonian actions of quasi-presymplectic Lie groupoids in terms of central extensions of Lie grou…