Derivation of index theorems by localization of path integrals

DOI10.1007/BF01102204zbMath0838.58039arXivhep-th/9312027OpenAlexW3105525658MaRDI QIDQ1902450

Antero Hietamäki

Publication date: 21 November 1995

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9312027

zbMATH Keywords

path integralssupersymmetryloop spaceindex theoremsAtiyah-SingerCallias

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Index theory and related fixed-point theorems on manifolds (58J20) Manifolds of mappings (58D15) Homology with local coefficients, equivariant cohomology (55N25)

Related Items (1)

Equivariant BRST and localization

Cites Work

• Axial anomalies and index theorems on open spaces
• Quantization of symplectic orbits of compact Lie groups by means of the functional integral
• The moment map and equivariant cohomology
• On the variation in the cohomology of the symplectic form of the reduced phase space
• Supersymmetry and the Atiyah-Singer index theorem

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