Equivariant short exact sequences of vector bundles and their analytic torsion forms
Jean-Michel Bismut (1994)
Compositio Mathematica
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Displaying similar documents to “Complex immersions and Quillen metrics”
Equivariant short exact sequences of vector bundles and their analytic torsion forms
Submersions and equivariant Quillen metrics
Xiaonan Ma (2000)
Annales de l'institut Fourier
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In this paper, we calculate the behaviour of the equivariant Quillen metric by submersions. We thus extend a formula of Berthomieu-Bismut to the equivariant case.
Transgressed Euler classes of vector bundles, adiabatic limits of eta invariants and special values of -functions
Jean-Michel Bismut, Jeff Cheeger (1992)
Annales scientifiques de l'École Normale Supérieure
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Composition operators on
Manfred Stoll, James Roberts (1976)
Studia Mathematica
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Eta invariants and complex immersions
Jean-Michel Bismut (1990)
Bulletin de la Société Mathématique de France
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Intrinsic microlocal analysis and inversion formulae for the heat equation on compact real-analytic riemannian manifolds
Éric Leichtnam, François Golse, Matthew Stenzel (1996)
Annales scientifiques de l'École Normale Supérieure
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The asymptotics of the Ray-Singer analytic torsion of the symmetric powers of a positive vector bundle
Jean-Michel Bismut, E. Vasserot (1990)
Annales de l'institut Fourier
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The purpose of this paper is to calculate the asymptotics of the Ray-Singer analytic torsion associated with the -th symmetric power of a holomorphic Hermitian positive vector bundle when tends to . We thus extend our previous results on positive line bundles.