12 citations · 32 across the 14 of their papers we have counts for
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Symplectic structures on stratified pseudomanifolds
Xiangdong Yang
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…
The convexity package for Hamiltonian actions on conformal symplectic manifolds
Youming Chen, Reyer Sjamaar, Xiangdong Yang
Consider a Hamiltonian action of a compact connected Lie group on a conformal symplectic manifold. We prove a convexity theorem for the moment map under the assumption that the act…
Basic Kirwan injectivity and its applications
Yi Lin, Xiangdong Yang
Consider the Hamiltonian action of a torus on a transversely symplectic foliation that is also Riemannian. When the transverse hard Lefschetz property is satisfied, we establish a…
Equivariant formality of transversely symplectic foliations and Frobenius manifolds
Yi Lin, Xiangdong Yang
Consider the Hamiltonian action of a compact connected Lie group on a transversely symplectic foliation which satisfies the transverse hard Lefschetz property. We establish an equi…
A Double Poisson Algebra Structure on Fukaya Categories
Xiaojun Chen, Hai-Long Her, Shanzhong Sun +1
Let be an exact symplectic manifold with . Denote by the Fukaya category of . We show that the dual space of the bar construction of $\mathrm{Fuk…