A Brief Remark on a Proof of the Local Index Theorem
Received:October 04, 1998  
Key Words: Atiyah-Singer index theorem   heat equation  
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Author NameAffiliation
YU Yan-lin Institute of Mathematics
Academia Sinica
Beijing 100080 
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Abstract:
      The paper describes a formal algorithm (i. e., Diana algorithm) to prove the local index theorem for Dirac operator, and points out that the magic power of the algorithm needs a logical ground attached. On this understanding we could see that there are several gaps in the Getzler's proof.
Citation:
DOI:10.3770/j.issn:1000-341X.1999.03.027
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