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A Riemann-Roch formula for singular reductions by circle actions
We compute a Hirzebruch-Riemann-Roch type formula for the invariant Riemann-Roch number of a quantizable Hamiltonian $S^1$-manifold $(M,ω,\J)$, allowing $0$ to be a singular value of the moment map $\J:M\to\R$. Our formula represents an instance of the Guillemin-Sternberg principle, which states tha
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