634 citations · 2.3k across the 53 of their papers we have counts for
5 papers · 1 filter
AKSZ construction of topological open p-brane action and Nambu brackets
Peter Bouwknegt, Branislav Jurco
We review the AKSZ construction as applied to the topological open membranes and Poisson sigma models. We describe a generalization to open topological p-branes and Nambu-Poisson s…
A Cech Dimensionally Reduced Gysin Sequence for Principal Torus Bundles
Peter Bouwknegt, Rshni Ratnam
In this paper we construct Cech cohomology groups that form a Gysin-type long exact sequence for principal torus bundles. This sequence is modeled on a de Rham cohomology sequence…
A Chern-Weil Isomorphism for the Equivariant Brauer Group
Peter Bouwknegt, Alan Carey, Rishni Ratnam
In this paper we construct a Chern-Weil isomorphism for the equivariant Brauer group of R^n-actions on a principal torus bundle, where the target for this isomorphism is a "dimensi…
Recent advances in the study of the Equivariant Brauer Group
Peter Bouwknegt, Alan Carey, Rishni Ratnam
In this paper we outline a recent construction of a Chern-Weil isomorphism for the equivariant Brauer group of actions on a principal torus bundle, where the target f…
Bundle gerbes and moduli spaces
Peter Bouwknegt, Varghese Mathai, Siye Wu
In this paper, we construct the index bundle gerbe of a family of self-adjoint Dirac-type operators, refining a construction of Segal. In a special case, we construct a geometric b…