The Limit of the Yang–Mills–Higgs Flow on Higgs Bundles
The Limit of the Yang–Mills–Higgs Flow on Higgs Bundles
In this article, we consider the gradient flow of the Yang–Mills–Higgs functional for Higgs pairs on a Hermitian vector bundle (E,H0) over a compact Kähler manifold (M,ω). We study the asymptotic behavior of the Yang–Mills–Higgs flow for Higgs pairs at infinity and show that the limiting Higgs sheaf is isomorphic …