12 citations · 32 across the 14 of their papers we have counts for
14 papers
Refined Chern characteristic classes of blow-ups
Xiaojun Wu, Song Yang, Xiangdong Yang
We prove a blow-up formula for refined Chern characteristic classes of compact complex manifolds. To this end, we establish a version of Riemann--Roch without denominators for the…
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…
Bott-Chern hypercohomology and bimeromorphic invariants
Song Yang, Xiangdong Yang
The aim of this article is to study the geometry of Bott-Chern hypercohomology from the bimeromorphic point of view. We construct some new bimeromorphic invariants involving the co…
Holomorphic Koszul-Brylinski homologies of Poisson blow-ups
Xiaojun Chen, Youming Chen, Song Yang +1
We derive a blow-up formula for holomorphic Koszul-Brylinski homologies of compact holomorphic Poisson manifolds. As applications, we investigate the invariance of the -dege…
Hodge cohomology on blow-ups along subvarieties
Sheng Rao, Song Yang, Xiangdong Yang +1
We establish a blow-up formula for Hodge cohomology of locally free sheaves on smooth proper varieties over an algebraically closed field of positive characteristic. For this, we i…
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…
Dolbeault cohomologies of blowing up complex manifolds II: bundle-valued case
Sheng Rao, Song Yang, Xiangdong Yang
We use a sheaf-theoretic approach to obtain a blow-up formula for Dolbeault cohomology groups with values in the holomorphic vector bundle over a compact complex manifold. As appli…
Bott-Chern blow-up formula and bimeromorphic invariance of the -Lemma for threefolds
Song Yang, Xiangdong Yang
The purpose of this paper is to study the bimeromorphic invariants of compact complex manifolds in terms of Bott-Chern cohomology. We prove a blow-up formula for Bott-Chern cohomol…
Dolbeault cohomologies of blowing up complex manifolds
Sheng Rao, Song Yang, Xiangdong Yang
We prove a blow-up formula for Dolbeault cohomologies of compact complex manifolds by introducing relative Dolbeault cohomology. As corollaries, we present a uniform proof for bime…
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…
Locally conformal symplectic blow-ups
Song Yang, Xiangdong Yang, Guosong Zhao
In this paper, we study the blow-up of a locally conformal symplectic manifold.We show that there exists a locally conformal symplectic structure on the blow-up of a locally confor…
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…
Stratified Obstruction Systems for Equivariant Moduli Problems and Invariant Euler cycles
Xiangdong Yang
The purpose of this paper is to study finite dimensional equivariant moduli problems from the viewpoint of stratification theory. We show that there exists a stratified obstruction…