Pan Zhang

collaborators

3 papers

math.DG2026

Vafa-Witten Equations and Conformal Geometry

Teng Huang, Pan Zhang

In this article, we establish geometric and analytic constraints imposed by the existence of nontrivial solutions to the Vafa-Witten equations on closed 4-manifolds. Using conforma…

math.DG2026

Hirzebruch $I ¨ _{y}$ -genus of compact almost KÃ¤hler manifold with negative sectional curvature

Teng Huang, Pan Zhang

Let $(X,J,Ï)$ be a closed $2n$-dimensional almost KÃ¤hler manifold with negative sectional curvature. We prove that if the Nijenhuis tensor of the almost complex structure is…

math.DG2026

$L^{2}$ -Hodge theory on Complete Almost KÃ¤hler Manifolds and the Hopf Conjecture

Teng Huang, Qiang Tan, Pan Zhang

In this article, we develop an $L^{2}$ -Hodge theory on complete $2 n$ -dimensional almost KÃ¤hler manifolds $(X, I ¨ )$ . In the first part, we establish several identities for various L…

Vafa-Witten Equations and Conformal Geometry

Hirzebruch I¨y​-genus of compact almost KÃ¤hler manifold with negative sectional curvature

L2-Hodge theory on Complete Almost KÃ¤hler Manifolds and the Hopf Conjecture

Hirzebruch $I ¨ _{y}$ -genus of compact almost KÃ¤hler manifold with negative sectional curvature

$L^{2}$ -Hodge theory on Complete Almost KÃ¤hler Manifolds and the Hopf Conjecture