139 citations · 176 across the 8 of their papers we have counts for
9 papers
Donaldson-Thomas invariants via microlocal geometry
Kai Behrend
We prove that Donaldson-Thomas type invariants are equal to weighted Euler characteristics of their moduli spaces. In particular, such invariants depend only on the scheme structur…
Uniformization of Deligne-Mumford curves
K. Behrend, B. Noohi
We compute the fundamental groups of non-singular analytic Deligne-Mumford curves, classify the simply connected ones, and classify analytic Deligne-Mumford curves by their uniform…
Connected components of moduli stacks of torsors via Tamagawa numbers
K. Behrend, A. Dhillon
Let be a smooth projective geometrically connected curve over a finite field with function field . Let $\G$ be a connected semisimple group scheme over . Under certain hy…
On the de Rham Cohomology of Differential and Algebraic Stacks
Kai Behrend
We introduce the notion of cofoliation on a stack. A cofoliation is a change of the differentiable structure which amounts to giving a full representable smooth epimorphism. Cofoli…
Equivariant gerbes over compact simple Lie groups
Kai Behrend, Ping Xu, Bin Zhang
Using groupoid -central extensions, we present, for a compact simple Lie group , an infinite dimensional model of -gerbe over the differential stack whose Dixmie…
S^1-bundles and gerbes over differentiable stacks
Kai Behrend, Ping Xu
We study -bundles and -gerbes over differentiable stacks in terms of Lie groupoids, and construct Chern classes and Dixmier-Douady classes in terms of analogues of connec…