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math.DG2023
On Vafa-Witten equations over Kaehler manifolds
Xuemiao Chen
In this paper, we study the analytic properties of solutions to the Vafa-Witten equation over a compact Kaehler manifold. Simple obstructions to the existence of nontrivial solutio…
math.DG2021★ 2 cited
The nonabelian Hodge correspondence for balanced hermitian metrics of Hodge-Riemann type
Xuemiao Chen, Richard A. Wentworth
This paper extends the nonabelian Hodge correspondence for Kaehler manifolds to a larger class of hermitian metrics on complex manifolds called balanced of Hodge-Riemann type. Esse…
math.DG2021
Compactness for -Yang-Mills connections
Xuemiao Chen, Richard A. Wentworth
On a Riemannian manifold of dimension we extend the known analytic results on Yang-Mills connections to the class of connections called -Yang-Mills connections, where is…