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The cohomology ring of symplectic cuts

Jean-Claude Hausmann·Allen Knutson
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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 $C_-$.

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Jean-Claude Hausmann, Allen Knutson. 1998-10-13. The cohomology ring of symplectic cuts. https://arxiv.org/abs/math/9807018

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