112 citations · 236 across the 46 of their papers we have counts for
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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…
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…
Cohomology of a Hamiltonian T-space with involution
Semyon Alesker, Maxim Braverman
Let be a compact symplectic manifold on which a compact torus acts Hamiltonialy with a moment map . Suppose there exists a symplectic involution , such that $μ…
Cohomology of the Mumford Quotient
Maxim Braverman
Let be a smooth projective variety acted on by a reductive group . Let be a positive -equivariant line bundle over . We use the Witten deformation of the Dolbeault…