L²-index formula for proper cocompact group actions

2011/06/22 by Wang, Hang
Mathematics · #Advanced Algebra and Geometry #Advanced Operator Algebra Research #Algebraic Topology (math.AT) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #K-Theory and Homology (math.KT) #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.1106.4542

openalex publication_date 2011/06/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 L²-index formula was obtained using the heat kernel method.

Citations

• On the heat equation and the index theorem

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