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 “Submersions and equivariant Quillen metrics”
Equivariant short exact sequences of vector bundles and their analytic torsion forms
Complex immersions and Quillen metrics
Jean-Michel Bismut, Gilles Lebeau (1991)
Publications Mathématiques de l'IHÉS
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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.
A fixed point formula of Lefschetz type in Arakelov geometry II: A residue formula
Kai Köhler, Damien Roessler (2002)
Annales de l’institut Fourier
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This is the second of a series of papers dealing with an analog in Arakelov geometry of the holomorphic Lefschetz fixed point formula. We use the main result of the first paper to prove a residue formula "à la Bott" for arithmetic characteristic classes living on arithmetic varieties acted upon by a diagonalisable torus; recent results of Bismut- Goette on the equivariant (Ray-Singer) analytic torsion play a key role in the proof.
Eta invariants and complex immersions
Jean-Michel Bismut (1990)
Bulletin de la Société Mathématique de France
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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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Uniqueness of equivariant singular Bott-Chern classes
Shun Tang (2012)
Annales de l’institut Fourier
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In this paper, we shall discuss possible theories of defining equivariant singular Bott-Chern classes and corresponding uniqueness property. By adding a natural axiomatic characterization to the usual ones of equivariant Bott-Chern secondary characteristic classes, we will see that the construction of Bismut’s equivariant Bott-Chern singular currents provides a unique way to define a theory of equivariant singular Bott-Chern classes. This generalizes J. I. Burgos Gil and R. Liţcanu’s...