112 citations · 236 across the 46 of their papers we have counts for
49 papers
Background Cohomology and Symplectic Reduction
Maxim Braverman
We consider a Hamiltonian action of a compact Lie group on a complete \ka manifold with a proper moment map. In a previous paper, we defined a regularized version of the Do…
On the Z_2-valued index of elliptic odd symmetric operators on non-compact manifolds
Maxim Braverman, Ahmad Reza Haj Saeedi Sadegh
We investigate elliptic operators with a symmetry that forces their index to vanish. We study the secondary index, defined modulo 2. We examine Callias-type operators with this sym…
Deformation Spaces, Rescaled Bundles and the Kirillov Character Formula
Maxim Braverman, Ahmad Reza Haj Saeedi Sadegh
In this paper, we construct a smooth vector bundle over the deformation to the normal cone through a rescaling of a vector bundle , which generalizes the…
Mikhail Aleksandrovich Shubin. December 19, 1944 -- May 13, 2020
Maxim Braverman, Arnold Dikansky, Leonid Friedlander +8
The article is dedicated to thye memory of a distinguished mathematician Professor Misha Shubin
Geometric quantization of b-symplectic manifolds
Maxim Braverman, Yiannis Loizides, Yanli Song
We introduce a method of geometric quantization for compact -symplectic manifolds in terms of the index of an Atiyah-Patodi-Singer (APS) boundary value problem. We show further…
The index of a local boundary value problem for strongly Callias-type operators
Maxim Braverman, Pengshuai Shi
We consider a complete Riemannian manifold M whose boundary is a disjoint union of finitely many complete connected Riemannian manifolds. We compute the index of a local boundary v…