Some remarks on Witten's method. Poincaré-Hopf theorem and Atiyah-Bott formula

DOI10.1007/BF00128018zbMath0657.58040MaRDI QIDQ1110888

X. P. Wang, Ahmad El Soufi

Publication date: 1987

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

zbMATH Keywords

Poincaré-Hopf theoremHirzebruch signature theoremAtiyah-Bott formula

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Differential complexes (58J10)

Related Items

Semiclassical asymptotics on covering manifolds and Morse inequalities ⋮ A Hopf index theorem for foliations. ⋮ A super-twisted Dirac operator and Novikov inequalities

Cites Work

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• Semiclassical analysis of low lying eigenvalues. II: Tunneling
• The Witten complex and the degenerate Morse inequalities
• Supersymmetry and Morse theory
• The index of elliptic operators. III
• A Lefschetz fixed point formula for elliptic complexes. II: Applications
• Multiple wells in the semi-classical limit I
• Multiple Wells in the Semi-Classical Limit III - Interaction Through Non-Resonant Wells
• Puits multiples en mecanique semi-classique iv etude du complexe de witten
• The Equivariant Index and Kirillov's Character Formula

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