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math.SG2023
Singular cohomology of symplectic quotients by circle actions and Kirwan surjectivity
Benjamin Delarue, Pablo Ramacher, Maximilian Schmitt
Let be a symplectic manifold carrying a Hamiltonian -action with momentum map and consider the corresponding symplectic quotient $\mathcal{M}_…
math.DG2023
A Riemann-Roch formula for singular reductions by circle actions
Benjamin Delarue, Louis Ioos, Pablo Ramacher
We compute a Hirzebruch-Riemann-Roch type formula for the invariant Riemann-Roch number of a quantizable Hamiltonian -manifold $(M,ω,\J)$, allowing to be a singular value…