Canadian Mathematical Society www.cms.math.ca
 location:  Publications → journals → CJM
Abstract view

# Cohomology Pairings on the Symplectic Reduction of Products

Published:2006-04-01
Printed: Apr 2006
• R. F. Goldin
• S. Martin
 Format: HTML LaTeX MathJax PDF PostScript

## 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 $X\times Y$, 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.
 MSC Classifications: 53D20 - Momentum maps; symplectic reduction

 top of page | contact us | privacy | site map |

© Canadian Mathematical Society, 2016 : https://cms.math.ca/