Ricci-Yang-Mills flow on surfaces and pluriclosed flow on elliptic fibrations

Abstract

We give a complete description of the global existence and convergence for the Ricci-Yang-Mills flow on $T^k$ bundles over Riemann surfaces. These results equivalently describe solutions to generalized Ricci flow and pluriclosed flow with symmetry.

arXiv commentfinal version, to appear in Adv. Math