activity
20072024
most citedSymplectic forms and cohomology decomposition of almost complex 4-manifolds

19 citations · 118 across the 23 of their papers we have counts for

collaborators

25 papers

math.SG2024

Periodic symplectic and Hamiltonian diffeomorphisms on irrational ruled surfaces

Nicholas Lindsay, Weiyi Zhang

We investigate when finite-order Hamiltonian diffeomorphisms extend to Hamiltonian circle actions, probing the transition from discrete to continuous symmetry in symplectic topolog…

math.DG2022

Images and singularity subsets of pseudoholomorphic maps

Weiyi Zhang

We study the image and the singularity subset of a general pseudoholomorphic map. We show that the image of a proper pseudoholomorphic map is a pseudoholomorphic subvariety when th…

math.SG2022

Symplectic blowing down in dimension Six

Tian-Jun Li, Yongbin Ruan, Weiyi Zhang

We establish a blowing down criterion in the context of birational symplectic geometry in dimension 6.

math.DG2022

Almost complex Hodge theory

Weiyi Zhang

We review the recent development of Hodge theory for almost complex manifolds. This includes the determination of whether the Hodge numbers defined by -Laplacian are…

math.DG2020★ 8 cited

Almost Kähler Kodaira-Spencer problem

Tom Holt, Weiyi Zhang

We show that the almost complex Hodge number varies with different choices of almost Kähler metrics. This answers the almost Kähler version of a question of Kodaira and S…

math.DG2020★ 1 cited

From Smooth to Almost Complex

Weiyi Zhang

This article mainly aims to overview the recent efforts on developing algebraic geometry for an arbitrary compact almost complex manifold. We review the results obtained by the gui…