Let $M$ be the product of two compact Hamiltonian$T$-spaces $X$ and $Y$. We present a formula for evaluatingintegrals on the symplectic reduction of $M$ by the diagonal $T$action. At every regular value of the moment map for $X imes Y$, theintegral is the convolution of two distributions associated to thesymplectic reductions of $X$ by $T$ and of $Y$ by $T$. Severalexamples illustrate the computational strength of this relationship.We also prove a linear analogue which can be used to find cohomologypairings on toric orbifolds.
展开▼
机译：假设$ M $是两个紧凑的Hamiltonian $ T $-空间$ X $和$ Y $的乘积。我们提出了一个公式，用于评估对角线$ T $动作导致的$ M $辛缩余的积分。在$ X imes Y $的矩图的每个正则值处，积分是与$ X $递减$ T $和$ Y $递减$ T $的两个分布相关的卷积。几个例子说明了这种关系的计算强度。我们还证明了一个线性类似物，可用于在复曲面双峰上找到同构对。
展开▼
