Eta invariants and complex immersions

Jean-Michel Bismut

Displaying similar documents to “Eta invariants and complex immersions”

An effective Matsusaka big theorem

Yum-Tong Siu (1993)

Annales de l'institut Fourier

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Instantons on cylindrical manifolds and stable bundles.

Owens, Brendan (2001)

Geometry & Topology

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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 $p$ -th symmetric power of a holomorphic Hermitian positive vector bundle when $p$ tends to $+ \infty$ . We thus extend our previous results on positive line bundles.

Determinant bundle over the universal moduli space of vector bundles over the Teichmüller space

Indranil Biswas (1997)

Annales de l'institut Fourier

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The moduli space of stable vector bundles over a moving curve is constructed, and on this a generalized Weil-Petersson form is constructed. Using the local Riemann-Roch formula of Bismut-Gillet-Soulé it is shown that the generalized Weil-Petersson form is the curvature of the determinant line bundle, equipped with the Quillen metric, for a vector bundle on the fiber product of the universal moduli space with the universal curve.

Hartogs phenomena for Hermitian vector bundles

Harris, Adam

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