论文标题
希格斯束的模量空间的轨道类型分层
The Orbit Type Stratification OF the Moduli Space of Higgs Bundles
论文作者
论文摘要
希格斯捆绑包的模量空间可以作为无限维空间的商构建，因此可以接受轨道型分解。在本文中，我们表明轨道类型的分解是一个复杂的惠特尼分层，因此每个层是一个复杂的象征性亚策略，因此接受了一个复杂的泊松支架。此外，这些泊松支架将粘合到模量空间的结构支架上的泊松支架上
The moduli space of Higgs bundles can be constructed as a quotient of an infinite-dimensional space and hence admits an orbit type decomposition. In this paper, we show that the orbit type decomposition is a complex Whitney stratification such that each stratum is a complex symplectic submanifold and hence admits a complex Poisson bracket. Moreover, these Poisson brackets glue to a Poisson bracket on the structure sheaf of the moduli space so that the moduli space is a stratified complex symplectic space
