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math.DG2012
The twisted Kahler-Ricci flow
Tristan C. Collins, Gábor Székelyhidi
In this paper we study a generalization of the Kahler-Ricci flow, in which the Ricci form is twisted by a closed, non-negative (1,1)-form. We show that when a twisted Kahler-Einste…
math.DG2012★ 2 cited
Remarks on the Yang-Mills flow on a compact Kahler manifold
Tristan C. Collins, Adam Jacob
We study the Yang-Mills flow on a holomorphic vector bundle E over a compact Kahler manifold X. We construct a natural barrier function along the flow, and introduce some technique…
math.DG2012
K-Semistability for irregular Sasakian manifolds
Tristan C. Collins, Gábor Székelyhidi
We introduce a notion of K-semistability for Sasakian manifolds. This extends to the irregular case the orbifold K-semistability of Ross-Thomas. Our main result is that a Sasakian…