A short proof of the local Atiyah-Singer index theorem

1986/01/01 by Ezra Getzler · 2 citations
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebra over a field #Atiyah–Singer index theorem #Clifford analysis #Dirac (video compression format) #Dirac operator #Elementary proof #Homotopy and Cohomology in Algebraic Topology #Mathematics #Operator (biology) #Operator theory #Philosophy #Physics #Pure mathematics #Quantum mechanics #Riemann hypothesis #Simple (philosophy)

paper · doi:10.1016/0040-9383(86)90008-x

crossref issued 1986/01/01 · crossref published 1986/01/01 · crossref published-print 1986/01/01 · openalex publication_date 1986/01/01 · crossref created 2002/07/26 · crossref deposited 2019/04/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/16 · crossref indexed 2026/06/16

Citations

• On the heat equation and the index theorem
• The Atiyah—Singer theorems: A probabilistic approach. I. The index theorem
• Pseudodifferential operators on supermanifolds and the Atiyah-Singer index theorem

Cited by

• Cyclic cohomology, the Novikov conjecture and hyperbolic groups
• Atiyah–Singer index theorem [wikipedia]