Callum Sleigh

collaborators

2 papers

math.DG2021

A conformally invariant Yang-Mills type energy and equation on 6-manifolds

A. Rod Gover, Lawrence J. Peterson, Callum Sleigh

We define a conformally invariant action S on gauge connections on a closed pseudo-Riemannian manifold M of dimension 6. At leading order this is quadratic in the gauge connection.…

math.DG2014

Tractor calculus, BGG complexes, and the cohomology of Kleinian groups

A. Rod Gover, Callum Sleigh

For a compact, oriented, hyperbolic $n$ -manifold $(M, g)$ , realised as $M = Γ\ H^{n}$ where $Γ$ is a torsion-free cocompact subgroup of $S O (n, 1)$ , we establish and…