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Symplectic cutting of Kähler manifolds by Maxim Braverman is a Mathematics article available to read on EtoBox.
What is Symplectic cutting of Kähler manifolds about?
## Abstract We obtain estimates on the character of the cohomology of an __S__^1^-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. The proof is based on constructing a flat family of complex spaces __M~t~__ (__t__ ∈ C) such that __M~t~__ is isomorphic to __M__ for __t__ ≠ 0, while __M__~0~ is a singular reducible complex space, whose irreducible components are the Lerman symplectic cuts.
Who reads Symplectic cutting of Kähler manifolds?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Maxim Braverman
- Publisher
- Walter de Gruyter GmbH
- Published
- 1999
- Language
- EN
- Field
- Mathematics (Physical Sciences)