# Intersection pairings in the N-fold reduced product of adjoint orbits

## TL;DR

This paper extends previous work by calculating intersection pairings in the symplectic reduced space formed by N adjoint orbits of a compact Lie group, providing new insights into its geometric structure.

## Contribution

It introduces a method to compute intersection pairings in the N-fold reduced product of adjoint orbits, advancing understanding of their symplectic geometry.

## Key findings

- Derived explicit formulas for intersection pairings
- Connected intersection pairings to symplectic volume computations
- Enhanced understanding of the geometric structure of adjoint orbit products

## Abstract

In previous work we computed the symplectic volume of the symplectic reduced space of the product of N adjoint orbits of a compact Lie group. In this paper we compute the intersection pairings of the same object.