47 citations · 183 across the 14 of their papers we have counts for
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math.DG2011★ 42 cited
Closed forms and multi-moment maps
Thomas Bruun Madsen, Andrew Swann
We extend the notion of multi-moment map to geometries defined by closed forms of arbitrary degree. We give fundamental existence and uniqueness results and discuss a number of ess…
math.DG2011★ 9 cited
Spin(7)-manifolds with three-torus symmetry
Thomas Bruun Madsen
Metrics of exceptional holonomy are vacuum solutions to the Einstein equation. In this paper we describe manifolds with holonomy contained in Spin(7) preserved by a three-torus sym…