Real embeddings and the Atiyah-Patodi-Singer index theorem for Dirac operators

1999/03/25 by Xianzhe Dai, Dai, Xianzhe, Weiping Zhang +1
Mathematics · #58Gxx #Advanced Operator Algebra Research #Advanced Topics in Algebra #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Spectral Theory in Mathematical Physics #math.AP #math.DG #msc:58Gxx

paper · pdf · doi:10.48550/arxiv.math/9903152

arxiv created 1999/03/25 · openalex publication_date 1999/03/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present the details of our embedding proof of the Atiyah-Patodi-Singer index theorem for Dirac operators on manifolds with boundary.

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