Nonuniqueness for the Yang–Mills heat flow

We prove nonuniqueness for the Yang–Mills heat flow on bundles over manifolds of dimension m 5. For 5 m 9 and any there is an initial connection on the trivial bundle which, when evolved by the Yang–Mills heat flow, develops a point singularity in finite time, such that there are at least n different smooth continuations after the singular time. Moreover, the solution to the Yang–Mills heat flow may continue on a different bundle after the singular time, and for m {6,8} not even the topology of the bundle is determined uniquely.