Loop Spaces and the hypoelliptic Laplacian

DOI10.1002/cpa.20190zbMath1147.58038OpenAlexW2091445092MaRDI QIDQ5450344

Jean-Michel Bismut

Publication date: 20 March 2008

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.20190

zbMATH Keywords

loop spacesHypoelliptic Laplacian

Mathematics Subject Classification ID

Partial differential equations on manifolds; differential operators (58J99) Hypoelliptic equations (35H10) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Perturbations of PDEs on manifolds; asymptotics (58J37)

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Cites Work

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• A deformation of Hodge theory on the cotangent bundle
• Homotopieringe und Linsenräume
• The hypoelliptic Laplacian on the cotangent bundle.
• The hypoelliptic Laplacian and analytic torsion.
• The Hypoelliptic Laplacian and Ray-Singer Metrics. (AM-167)