Pseudodifferential operators on supermanifolds and the Atiyah-Singer index theorem

1983/06/01 by Ezra Getzler · 4 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic and Geometric Analysis #Atiyah–Singer index theorem #Clifford algebra #Clifford analysis #Dirac (video compression format) #Dirac operator #Index (typography) #Manifold (fluid mechanics) #Mathematics #Noncommutative and Quantum Gravity Theories #Operator theory #Physics #Pseudodifferential operators #Pure mathematics #Quantization (signal processing) #Quantum Mechanics and Non-Hermitian Physics #Quantum mechanics #Supermanifold

paper · doi:10.1007/bf01210843

crossref issued 1983/06/01 · crossref published 1983/06/01 · crossref published-print 1983/06/01 · openalex publication_date 1983/06/01 · crossref created 2005/02/25 · crossref deposited 2020/04/05 · openalex created_date 2025/10/10 · crossref indexed 2026/06/27 · openalex updated_date 2026/07/23

Citations

• The Index of Elliptic Operators: III
• On the heat equation and the index theorem
• Particle spin dynamics as the grassmann variant of classical mechanics
• A Lefschetz Fixed Point Formula for Elliptic Complexes: II. Applications
• Supersymmetry and Morse theory

Cited by

• Cyclic cohomology, the Novikov conjecture and hyperbolic groups
• A short proof of the local Atiyah-Singer index theorem
• Non-commutative differential geometry
• Atiyah–Singer index theorem [wikipedia]