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Cohomology pairings on the symplectic reduction of products

R. F. Goldin·S. Martin
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Abstract

Let M be the product of two compact Hamiltonian T-spaces X and Y. We present a formula for evaluating integrals on the symplectic reduction of M by the diagonal T action. At every regular value of the moment map for X x Y, the integral is the convolution of two distributions associated to the symplectic reductions of X by T and of Y by T. Several examples illustrate the computational strength of this relationship. We also prove a linear analogue which can be used to find cohomology pairings on toric orbifolds.

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BibTeXRIS

R. F. Goldin, S. Martin. 2004-08-18. Cohomology pairings on the symplectic reduction of products. https://arxiv.org/abs/math/0408250

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