5 papers
Nonclosure of stationary Yang-Mills connections under weak convergence
Xiaoli Han, Jiayu Li, Yang Wen
We construct a sequence of stationary weak Yang-Mills connections on the trivial vector bundle with structure group whose weak li…
Morse Index of a -Instanton over
Xiaoli Han, Yang Wen
In this paper, we determine the nonpositive spectrum of the Yang-Mills Jacobi operator in Coulomb gauge at the standard -instanton on . We prove that the only negative ei…
The stability of Yang-Mills connections on -pinched manifolds
Xiaoli Han, Yang Wen
In this article, we establish pinching conditions under which all weakly stable Yang-Mills connections on compact manifolds are flat. As a corollary, we provide a dimension-depende…
Nonexistence of weakly stable Yang-Mills fields
Xiaoli Han, Yang Wen
In this paper we prove that there is a neighborhood in the topology of the usual metric on the Euclidean sphere such that there is no nontrivial weakly stable…
Stability and energy identity for Yang-Mills-Higgs pairs
Xiaoli Han, Xishen Jin, Yang Wen
In this paper, we study the properties of the critical points of Yang-Mills-Higgs functional, which are called Yang-Mills-Higgs pairs. We first consider the properties of weakly st…