2 citations · 4 across the 4 of their papers we have counts for
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On the J-flow in higher dimensions and the lower boundedness of the Mabuchi energy
Ben Weinkove
The J-flow is a parabolic flow on Kahler manifolds. It was defined by Donaldson in the setting of moment maps and by Chen as the gradient flow of the J-functional appearing in his…
Convergence of the J-flow on Kahler surfaces
Ben Weinkove
Donaldson defined a parabolic flow on Kahler manifolds which arises from considering the action of a group of symplectomorphisms on the space of smooth maps between manifolds. One…
Singularity formation in the Yang-Mills flow
Ben Weinkove
This paper studies rapidly forming singularities in the Yang-Mills flow. It is shown that a sequence of blow-ups near the singular point converges, modulo the gauge group, to a hom…
Higher K-energy functionals and higher Futaki invariants
Ben Weinkove
This note discusses the higher K-energy functionals which were defined by Bando and Mabuchi, and integrate higher Futaki invariants. Two new formulas for the higher K-energy functi…