Equivariant short exact sequences of vector bundles and their analytic torsion forms
Jean-Michel Bismut (1994)
Compositio Mathematica
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Jean-Michel Bismut (1994)
Compositio Mathematica
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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.
Jean-Michel Bismut, Jeff Cheeger (1992)
Annales scientifiques de l'École Normale Supérieure
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Manfred Stoll, James Roberts (1976)
Studia Mathematica
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Jean-Michel Bismut (1990)
Bulletin de la Société Mathématique de France
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Éric Leichtnam, François Golse, Matthew Stenzel (1996)
Annales scientifiques de l'École Normale Supérieure
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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.