An equivariant index for proper actions. III: The invariant and discrete series indices

DOI10.1016/J.DIFGEO.2016.07.003zbMath1352.53042arXiv1412.5348OpenAlexW2963404714WikidataQ115355651 ScholiaQ115355651MaRDI QIDQ344151

Peter Hochs, Yanli Song

Publication date: 22 November 2016

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.5348

zbMATH Keywords

equivariant index\(\mathrm{Spin}^{\mathrm{c}}\)-Dirac operatordiscrete series representation

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Spin and Spin({}^c) geometry (53C27) Index theory (19K56)

Related Items (8)

An index theorem for higher orbital integrals ⋮ Equivariant Callias index theory via coarse geometry ⋮ An equivariant index for proper actions. I ⋮ Index of equivariant Callias-type operators and invariant metrics of positive scalar curvature ⋮ A geometric realisation of tempered representations restricted to maximal compact subgroups ⋮ A \(K\)-homological approach to the quantization commutes with reduction problem ⋮ On the Vergne conjecture ⋮ Coarse geometry and Callias quantisation

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