The Atiyah—Singer theorems: A probabilistic approach. I. The index theorem

1984/06/01 by Jean-Michel Bismut, Jean‐Michel Bismut · 2 citations
Computer Science · Mathematics · #Algebra over a field #Atiyah–Singer index theorem #Calculus (dental) #Fixed-point theorem #Index (typography) #Mathematics #Matrix Theory and Algorithms #Probabilistic logic #Pure mathematics #Spectral Theory in Mathematical Physics #Topological and Geometric Data Analysis

paper · pdf · doi:10.1016/0022-1236(84)90101-0

crossref issued 1984/06/01 · crossref published 1984/06/01 · crossref published-print 1984/06/01 · openalex publication_date 1984/06/01 · crossref created 2004/12/24 · crossref deposited 2019/01/30 · openalex created_date 2025/10/10 · crossref indexed 2026/05/18 · openalex updated_date 2026/08/01

Citations

• The Index of Elliptic Operators: III
• On the heat equation and the index theorem
• A Lefschetz Fixed Point Formula for Elliptic Complexes: I
• A Lefschetz Fixed Point Formula for Elliptic Complexes: II. Applications
• Supersymmetry and Morse theory
• The Index of Elliptic Operators: I

Cited by

• A short proof of the local Atiyah-Singer index theorem
• Atiyah–Singer index theorem [wikipedia]