3 papers
math.DG2024
Cohomological lifting of multi-toric graphs
Kael Dixon, Thomas Bruun Madsen, Andrew Swann
We study -manifolds obtained from circle bundles over symplectic -manifolds with -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…