17 citations · 39 across the 11 of their papers we have counts for
7 papers · 1 filter
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…
Prequantization of the Moduli Space of Flat -Bundles with Prescribed Boundary Holonomies
Derek Krepski
Using the framework of quasi-Hamiltonian actions, we compute the obstruction to prequantization for the moduli space of flat -bundles over a compact orientable surface…
Inertia groups of a toric DM stack, fake weighted projective spaces, and labelled sheared simplices
Rebecca Goldin, Megumi Harada, David Johannsen +1
This paper determines the inertia groups (isotropy groups) of the points of a toric Deligne-Mumford stack [Z/G] (considered over the category of smooth manifolds) that is realized…
On the Verlinde formulas for SO(3)-bundles
Derek Krepski, Eckhard Meinrenken
This paper computes the quantization of the moduli space of flat SO(3)-bundles over an oriented surface with boundary, with prescribed holonomies around the boundary circles. The r…
Ph. D. Thesis: Pre-quantization of the moduli space of flat G-bundles
Derek Krepski
This thesis studies the pre-quantization of quasi-Hamiltonian group actions from a cohomological viewpoint. The compatibility of pre-quantization with symplectic reduction and the…
Central extensions of loop groups and obstruction to pre-quantization
Derek Krepski
An explicit construction of a pre-quantum line bundle for the moduli space of flat G-bundles over a Riemann surface is given, where G is any non-simply connected compact simple Lie…