Andrew Clarke

activity

20092026

most citedInstantons on the exceptional holonomy manifolds of Bryant and Salamon

25 citations · 44 across the 14 of their papers we have counts for

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Showing 2013Show all

2 papers · 1 filter

math.DG2013★ 25 cited

Instantons on the exceptional holonomy manifolds of Bryant and Salamon

Andrew Clarke

We give a construction of $G_{2}$ and $S p in (7)$ instantons on exceptional holonomy manifolds constructed by Bryant and Salamon, by using an ansatz of spherical symmetry coming from t…

math.DG2013

Lower bounds on the modified K-energy and complex deformations

Andrew Clarke, Carl Tipler

Let (X,L) be a polarized Kähler manifold that admits an extremal Kähler metric in c1(L). We show that on a nearby polarized deformation that preserves the symmetry induced by the e…