79 citations · 79 across the 2 of their papers we have counts for
5 papers
Topological and Smooth Stacks
David Metzler
We review the basic definition of a stack and apply it to the topological and smooth settings. We then address two subtleties of the theory: the correct definition of a ``stack ove…
Presentations of Noneffective Orbifolds
Andre Henriques, David Metzler
It is well-known that an effective orbifold M (one for which the local stabilizer groups act effectively) can be presented as a quotient of a smooth manifold P by a locally free ac…
Cohomological localization for manifolds with boundary
David S. Metzler
For an -manifold with boundary, we prove a localization formula applying to any equivariant cohomology theory satisfying a certain algebraic condition. We show how the local…
A K-Theoretic Note on Geometric Quantization
David S. Metzler
We show that the results of the paper Symplectic Reduction and Riemann-Roch for Circle Actions of Duistermaat, Guillemin, Meinrenken and Wu can be expressed entirely in K-theory. W…
A Wall-crossing Formula for the Signature of Symplectic Quotients
David S. Metzler
We use symplectic cobordism, and the localization result of Ginzburg, Guillemin, and Karshon, to find a wall-crossing formula for the signature of regular symplectic quotients of H…