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math.DG2023
The Limit of the Yang-Mills-Higgs Flow for twisted Higgs pairs
Changpeng Pan, Zhenghan Shen, Pan Zhang
In this paper, we consider the Yang-Mills-Higgs flow for twisted Higgs pairs over Kähler manifolds. We prove that this flow converges to a reflexive twisted Higgs sheaf outside a c…
math.DG2023
Semi-stable twisted holomorphic vector bundles over Gauduchon manifolds
Zhenghan Shen
In this paper, we study the semi-stable twisted holomorphic vector bundles over compact Gauduchon manifolds. By using Uhlenbeck--Yau's continuity method, we show that the existence…
math.DG2023
On the existence of harmonic metrics on non-Hermitian Yang-Mills bundles
Changpeng Pan, Zhenghan Shen, Xi Zhang
In this paper, we study the non-Hermitian Yang-Mills (NHYM for short) bundles over compact Kähler manifolds. We show that the existence of harmonic metrics is equivalent to the sem…