A deformation in families of Hodge-de Rham theory

DOI10.1016/j.crma.2004.01.010zbMath1058.58009OpenAlexW2050026145MaRDI QIDQ1876815

Jean-Michel Bismut

Publication date: 20 August 2004

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.2004.01.010

zbMATH Keywords

curvaturehypoelliptic operatorLevi-Civita superconnectionde Rham-Hodge operator

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Index theory and related fixed-point theorems on manifolds (58J20) Deformations of general structures on manifolds (58H15) General theory of differentiable manifolds (58A99) Connections (general theory) (53C05) Fiber spaces and bundles in algebraic topology (55R99)

Related Items (4)

The hypoelliptic Laplacian on the cotangent bundle. ⋮ A deformation of Hodge theory on the cotangent bundle ⋮ The hypoelliptic Laplacian on the cotangent bundle ⋮ The hypoelliptic Laplacian and analytic torsion.

Cites Work

• The Atiyah-Singer index theorem for families of Dirac operators: Two heat equation proofs
• A deformation of Hodge theory on the cotangent bundle
• The hypoelliptic Laplacian on the cotangent bundle.
• Flat Vector Bundles, Direct Images and Higher Real Analytic Torsion

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