Andrew Clarke

activity

20102020

G_{2}

structures and the Strominger system in dimension 7

5 citations · 6 across the 4 of their papers we have counts for

collaborators

4 papers

math.DG2020

$T$ -Dual solutions and infinitesimal moduli of the $G_{2}$ -Strominger system

Andrew Clarke, Mario Garcia-Fernandez, Carl Tipler

We consider $G_{2}$ -structures with torsion coupled with $G_{2}$ -instantons, on a compact $7$ -dimensional manifold. The coupling is via an equation for $4$ -forms which appears in super…

math.DG2019★ 1 cited

$Spin (7)$ -Instantons from evolution equations

Andrew Clarke, Gonçalo Oliveira

In this paper we study $Spin (7)$ -instantons on asymptotically conical $Spin (7)$ -orbifolds (and manifolds) obtained by filling in certain squashed $3$ -Sasakian $7$ -manif…

math.DG2016★ 5 cited

Moduli of $G_{2}$ structures and the Strominger system in dimension 7

Andrew Clarke, Mario Garcia-Fernandez, Carl Tipler

We consider $G_{2}$ structures with torsion coupled with $G_{2}$ -instantons, on a compact $7$ -dimensional manifold. The coupling is via an equation for $4$ -forms which appears in super…

math.DG2010

Minimal Surfaces in G2 Manifolds

Andrew Clarke

We consider immersions of a Riemann surface into a manifold with $G_{2}$ -holonomy and give criteria for them to be conformal and harmonic, in terms of an associated Gauss map.

T-Dual solutions and infinitesimal moduli of the G2​-Strominger system

Spin(7)-Instantons from evolution equations

Moduli of G2​ structures and the Strominger system in dimension 7

Minimal Surfaces in G2 Manifolds

$T$ -Dual solutions and infinitesimal moduli of the $G_{2}$ -Strominger system

$Spin (7)$ -Instantons from evolution equations

Moduli of $G_{2}$ structures and the Strominger system in dimension 7