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arxiv: 1508.07973 · v1 · submitted 2015-08-31 · 🧮 math.DG

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Localization of Chern-Simons type invariants of Riemannian foliations

Oliver Goertsches , Hiraku Nozawa , Dirk Toeben
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classification 🧮 math.DG
keywords foliationstypechern-simonsinvariantslocalizationriemannianapplicationatiyah-bott-berline-vergne
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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-Simons type invariants, for example the volume of Sasakian manifolds and secondary characteristic classes of Riemannian foliations, to the union of closed leaves. Various examples are given to illustrate our method.

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Cited by 2 Pith papers

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