Proof of the family index theorem via a path integral

DOI10.1063/1.528254zbMath0674.58048OpenAlexW2007867364MaRDI QIDQ3828789

Miao Li

Publication date: 1989

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.528254

zbMATH Keywords

supersymmetryindex theoremAtiyah-Singer index theorem

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Path integrals in quantum mechanics (81S40) Index theory and related fixed-point theorems on manifolds (58J20) Applications of manifolds of mappings to the sciences (58D30)

Cites Work

• The Atiyah-Singer index theorem for families of Dirac operators: Two heat equation proofs
• Determinants of Cauchy-Riemann operators on a Riemann surface
• String theory and loop space index theorems
• Bosonization on higher genus Riemann surfaces
• Parallel transport in the determinant line bundle: The zero index case
• The analysis of elliptic families. I: Metrics and connections on determinant bundles
• Proof of character-valued index theorems
• The index of elliptic operators. IV, V