36 citations · 112 across the 21 of their papers we have counts for
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math.DG2016★ 1 cited
K-stability for Kähler Manifolds
Ruadhaí Dervan, Julius Ross
We formulate a notion of K-stability for Kähler manifolds, and prove one direction of the Yau-Tian-Donaldson conjecture in this setting. More precisely, we prove that the Mabuchi f…
math.DG2016★ 2 cited
Quantization of Hitchin's equations for Higgs Bundles I
Mario Garcia-Fernandez, Julien Keller, Julius Ross
We provide an algebraic framework for quantization of Hermitian metrics that are solutions of the Hitchin equation for Higgs bundles over a projective manifold. Using Geometric Inv…