Symplectic cutting of Kähler manifolds
1999 ◽
Vol 1999
(508)
◽
pp. 85-98
Keyword(s):
Abstract We obtain estimates on the character of the cohomology of an S1-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 Mt (t ∈ ℂ) such that Mt is isomorphic to M for t ≠ 0, while M0 is a singular reducible complex space, whose irreducible components are the Lerman symplectic cuts.
2015 ◽
Vol 2015
(706)
◽
2006 ◽
Vol 17
(01)
◽
pp. 35-43
◽
1998 ◽
Vol 21
(1)
◽
pp. 69-72
◽
Keyword(s):
2016 ◽
Vol 08
(04)
◽
pp. 589-626
◽
1995 ◽
Vol 18
(2)
◽
pp. 331-340