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The cohomology ring of symplectic cuts

Jean-Claude Hausmann, Allen Knutson

math.SGarXiv: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-.

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