TY - JOUR
TI - Remarks on the Yang:Mills flow on a compact Kahler manifolds
AU - Collins, Tristan C.
AU - Jacob, Adam
TI - Remarks on the Yang:Mills flow on a compact Kahler manifolds
AB - 
	We study the Yang{Mills ow on a holomorphic vector bundle E over a compact Kahler manifold X. We construct a natural barrier function along the ow, and introduce some techniques to study the blow- up of the curvature along the ow. Making some technical assumptions, we show how our techniques can be used to prove that the curvature of the evolved connection is uniformly bounded away from an analytic subvariety determined by the Harder-Narasimhan-Seshadri ltration of E. We also discuss how our assumptions are related to stability in some simple cases. 

	2010 Mathematics Subject Classification - 53C07, 53C44
VL - 2013
IS - Tom 51
PY - 2014
SN - 0083-4386
C1 - 2084-3828
SP - 14
EP - 43
UR - https://ejournals.eu/czasopismo/universitatis-iagellonicae-acta-mathematica/artykul/remarks-on-the-yang-mills-flow-on-a-compact-kahler-manifolds