139 citations · 176 across the 8 of their papers we have counts for
5 papers · 1 filter
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…
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…
Differential Graded Schemes II: The 2-category of Differential Graded Schemes
Kai Behrend
We construct a 2-category of differential graded schemes. The local affine models in this theory are differential graded algebras, which are graded commutative with unit over a fie…
Differential Graded Schemes I: Perfect Resolving Algebras
Kai Behrend
We introduce perfect resolving algebras and study their fundamental properties. These algebras are basic for our theory of differential graded schemes, as they give rise to affine…