4 papers · 1 filter
The Yang-Mills equation near instanton-anti-instanton configurations
Alex Waldron, Hao Yin
We study the question of whether a sequence of non-instanton Yang-Mills connections can limit to a bubbling configuration composed only of instantons. In the case that the Uhlenbec…
Integrable Deformations and Stability of the Ricci Flow
Maxwell Stolarski, Alex Waldron
We provide a comparatively simple proof of the dynamical stability of Ricci flow near a linearly stable Ricci-flat ALE metric with integrable deformations. Our proof relies on the…
Weighted Lojasiewicz inequalities and regularity of harmonic map flow
Alex Waldron
At a finite-time singularity of harmonic map flow in the critical dimension, we show that a Lojasiewicz inequality between the quantities appearing in Struwe's monotonicity formula…
Parabolic gap theorems for the Yang-Mills energy
Anuk Dayaprema, Alex Waldron
We prove parabolic versions of several known gap theorems in classical Yang-Mills theory. On an -bundle of charge over the 4-sphere, we show that the space of a…