We introduce the notion of a Hamiltonian action of an etale Lie group stack on an etale symplectic stack and establish versions of the Kirwan convexity theorem, the Mayer-Marsden-Weinstein symplectic reduction theorem, and the Duistermaat-Heckman theorem in this context.

中文翻译：

---

Stacky Hamiltonian 作用和辛归约

我们在 etale 辛堆栈上引入了 etale Lie 群堆栈的哈密顿作用的概念，并在这种情况下建立了 Kirwan 凸性定理、Mayer-Marsden-Weinstein 辛归约定理和 Duistermaat-Heckman 定理的版本。