Holomorphic Morse Inequalities in Singular Reduction

We extend our Morse type inequalities for holomorphic symplectic reductions [TZ1, 2] to the case of singular reductions. 0. Introduction and the statement of main results Let (M, ω) be a closed symplectic manifold. We make the assumption that there is a Hermitian line bundle L over M admitting a Hermitian connection ∇L with the property that √−1 2π (∇L)2… CONTINUE READING