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math.DG1998
Vanishing theorems on covering manifolds
Maxim Braverman
Let be an oriented even-dimensional Riemannian manifold on which a discrete group of orientation-preserving isometries acts freely, so that the quotient is compact.…
math.SG1998
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…
math.DG1998
Vanishing theorems for the kernel of a Dirac operator
Maxim Braverman
We obtain a vanishing theorem for the kernel of a Dirac operator on a Clifford module twisted by a sufficiently large power of a line bundle, whose curvature is non-degenerate at a…