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

Biswas, Indranil (1997) Determinant bundle over the universal moduli space of vector bundles over the Teichmuller space Annales de L'Institut Fourier, 47 (3). pp. 885-914. ISSN 0373-0956

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Official URL: http://aif.cedram.org/item?id=AIF_1997__47_3_885_0

Abstract

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-Soule 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.

Item Type:Article
Source:Copyright of this article belongs to Annales de L'Institut Fourier.
ID Code:3625
Deposited On:18 Oct 2010 10:18
Last Modified:16 May 2016 14:23

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