A. Swann

collaborators

Showing math.DGShow all

3 papers · 1 filter

math.DG2024

Cohomological lifting of multi-toric graphs

Kael Dixon, Thomas Bruun Madsen, Andrew Swann

We study $G_{2}$ -manifolds obtained from circle bundles over symplectic $S U (3)$ -manifolds with $T^{2}$ -symmetry. When the geometry is multi-Hamiltonian, we show how the compact par…

math.DG2024

Multi-toric geometries with larger compact symmetry

Thomas Bruun Madsen, Andrew Swann

We study complete, simply-connected manifolds with special holonomy that are toric with respect to their multi-moment maps. We consider the cases where there is a connected non-Abe…

math.DG2005

Homogeneous quaternionic Kaehler structures and quaternionic hyperbolic space

M. Castrillon Lopez, P. M. Gadea, A. F. Swann

An explicit classification of homogeneous quaternionic Kaehler structures by real tensors is derived and we relate this to the representation-theoretic description found by Fino. W…