Displaying similar documents to “The asymptotics of the Ray-Singer analytic torsion of the symmetric powers of a positive vector bundle”

Submersions and equivariant Quillen metrics

Xiaonan Ma (2000)

Annales de l'institut Fourier

Similarity:

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.

Asymptotics for Bergman-Hodge kernels for high powers of complex line bundles

Robert Berman, Johannes Sjöstrand (2007)

Annales de la faculté des sciences de Toulouse Mathématiques

Similarity:

In this paper we obtain the full asymptotic expansion of the Bergman-Hodge kernel associated to a high power of a holomorphic line bundle with non-degenerate curvature. We also explore some relations with asymptotic holomorphic sections on symplectic manifolds.