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The cohomology ring of symplectic cuts

arXiv:math/9807018

Abstract

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 $C_-$.

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