392 citations · 950 across the 28 of their papers we have counts for
5 papers · 1 filter
On the Motive of the Stack of Bundles
Kai Behrend, Ajneet Dhillon
Let be a split connected semisimple group over a field. We give a conjectural formula for the motive of the stack of -bundles over a curve , in terms of special values of…
Symmetric obstruction theories and Hilbert schemes of points on threefolds
Kai Behrend, Barbara Fantechi
We introduce the notion of symmetric obstruction theory and study symmetric obstruction theories which are compatible with C*-actions. We prove that the contribution of an isolated…
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…