The Yang-Mills flow and the Atiyah-Bott formula on compact Kähler manifolds
The Yang-Mills flow and the Atiyah-Bott formula on compact Kähler manifolds
We study the Yang-Mills flow on a holomorphic vector bundle $E$ over a compact K\"ahler manifold $X$. Along a solution of the flow, we show that the curvature endomorphism $i\Lambda F(A_t)$ approaches in $L^2$ an endomorphism with constant eigenvalues given by the slopes of the quotients from the Harder-Narasimhan filtration …