Symplectic Cutting of Kähler Manifolds
نویسنده
چکیده
We obtain estimates on the character of the cohomology of an S-equivariant holomorphic vector bundle over a Kähler manifold M in terms of the cohomology of the Lerman symplectic cuts and the symplectic reduction of M . In particular, we prove and extend inequalities conjectured by Wu and Zhang [12]. The proof is based on constructing a flat family of complex spaces Mt (t ∈ C) such that Mt is isomorphic to M for t 6= 0, while M0 is a singular reducible complex space, whose irreducible components are the Lerman symplectic cuts.
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تاریخ انتشار 1997