The hypoelliptic Dirac operator

DOI10.1016/j.crma.2006.10.011zbMath1110.58019OpenAlexW1970493029MaRDI QIDQ869465

Jean-Michel Bismut

Publication date: 2 March 2007

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2006.10.011

zbMATH Keywords

compact spin manifolddeformation of the Dirac operatorhypoelliptic Quillen metrics

Mathematics Subject Classification ID

Deformations of general structures on manifolds (58H15)

Cites Work

• Determinants of Cauchy-Riemann operators on a Riemann surface
• Analytic torsion and holomorphic determinant bundles. I: Bott-Chern forms and analytic torsion. II: Direct images and Bott-Chern forms. III: Quillen metrics on holomorphic determinants
• Complex immersions and Quillen metrics
• A deformation of Hodge theory on the cotangent bundle
• The hypoelliptic Laplacian on the cotangent bundle.
• An arithmetic Riemann-Roch theorem
• The hypoelliptic Laplacian and analytic torsion.
• Hypoelliptic second order differential equations
• Analytic torsion for complex manifolds
• Koszul Complexes, Harmonic Oscillators, and the Todd Class
• The Hypoelliptic Laplacian and Ray-Singer Metrics. (AM-167)
• The hypoelliptic Laplacian on the cotangent bundle

This page was built for publication: The hypoelliptic Dirac operator