$L^2$-index formula for proper cocompact group actions

Hang Wang

arxiv: 1106.4542 · v4 · pith:6UF2DA64new · submitted 2011-06-22 · 🧮 math.AT · math.DG· math.KT· math.OA

L²-index formula for proper cocompact group actions

Hang Wang This is my paper

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keywords indexformulagroupactingactionsactscocompactcocompactly

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We study the index of the $G$-invariant elliptic pseudo-differential operator acting on a complete Riemannian manifold, where a unimodular, locally compact group $G$ acts properly and cocompactly. An $L^2$-index formula was obtained using the heat kernel method.

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L²-index formula for proper cocompact group actions

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