1 citations · 1 across the 3 of their papers we have counts for
5 papers · 1 filter
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…
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…
Instantons on flat space: Explicit constructions
Jason D. Lotay, Thomas Bruun Madsen
In this note, we revisit some well-known examples of instantons on flat space that were originally discovered in the physics literature. In particular, we explain how the basic ins…
Toric geometry of Spin(7)-manifolds
Thomas Bruun Madsen, Andrew Swann
We study -manifolds with an effective multi-Hamiltonian action of a four-torus. On an open dense set, we provide a Gibbons-Hawking type ansatz that describes such…
Toric geometry of -manifolds
Thomas Bruun Madsen, Andrew Swann
We consider -manifolds with an effective torus action that is multi-Hamiltonian for one or more of the defining forms. The case of -actions is found to be distinguished.…