The cohomology ring of symplectic cuts

Details The cohomology ring of symplectic cuts The cohomology ring of symplectic cuts

1998-07-03

arxiv.org/abs/math/9807018v3

Mathematics

Symplectic Geometry

8 pages, no pictures, LaTeX twice. Fixed some indices (that don't affect the result), and added a comment on alternate methods

Scientific paper

The ``symplectic cut'' construction [Lerman] produces two symplectic
orbifolds $C_-$ and $C_+$ from a symplectic manifold $M$ with a Hamiltonian
circle action. We compute the rational cohomology ring of $C_+$ in terms of
those of $M$ and $C_-$.

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