论文标题
分层伪行的符号结构
Symplectic structures on stratified pseudomanifolds
论文作者
论文摘要
本文的目的是在局部$ \ c^{\ infty} $环形空间理论的框架中调查平滑分层的伪行的定义。我们引入了平滑分层伪造的融合理论定义和共生形式和共生结构的定义。特别是，我们在光滑的$ g $ stratatififfififif的伪曼夫的商空间上给出了一个间接定义。 Based on the structure theorem of singular symplectic quotients by Sjamaar--Lerman, we show that the singular reduced space $M_{0}=μ^{-1}(0)/G$ of a symplectic Hamiltonian $G$-manifold $(M,ω,G,μ)$ admits a natural (indirect) symplectic form and a unique cohomologically symplectic structure.
The purpose of this paper is to investigate the definition of symplectic structure on a smooth stratified pseudomanifold in the framework of local $\C^{\infty}$-ringed space theory. We introduce a sheaf-theoretic definition of symplectic form and cohomologically symplectic structure on smooth stratified pseudomanifolds. In particular, we give an indirect definition of symplectic form on the quotient space of a smooth $G$-stratified pseudomanifold. Based on the structure theorem of singular symplectic quotients by Sjamaar--Lerman, we show that the singular reduced space $M_{0}=μ^{-1}(0)/G$ of a symplectic Hamiltonian $G$-manifold $(M,ω,G,μ)$ admits a natural (indirect) symplectic form and a unique cohomologically symplectic structure.
