The cohomology ring of symplectic cuts
classification
🧮 math.SG
math.AGmath.ATmath.DG
keywords
symplecticcohomologyringactioncirclecomputeconstructioncuts
read the original 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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