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math.AT2015
Assignments for topological group actions
Oliver Goertsches, Augustin-Liviu Mare
A polynomial assignment for a continuous action of a compact torus on a topological space assigns to each a polynomial function on the Lie algebra of the isotropy…
math.DG2015
Localization of Chern-Simons type invariants of Riemannian foliations
Oliver Goertsches, Hiraku Nozawa, Dirk Toeben
We prove an Atiyah-Bott-Berline-Vergne type localization formula for Killing foliations in the context of equivariant basic cohomology. As an application, we localize some Chern-Si…