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

Indranil Biswas

Annales de l'institut Fourier (1997)

  • Volume: 47, Issue: 3, page 885-914
  • ISSN: 0373-0956

Abstract

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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.

How to cite

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Biswas, Indranil. "Determinant bundle over the universal moduli space of vector bundles over the Teichmüller space." Annales de l'institut Fourier 47.3 (1997): 885-914. <http://eudml.org/doc/75248>.

@article{Biswas1997,
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-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.},
author = {Biswas, Indranil},
journal = {Annales de l'institut Fourier},
keywords = {moduli space; determinant bundle; Quillen metric},
language = {eng},
number = {3},
pages = {885-914},
publisher = {Association des Annales de l'Institut Fourier},
title = {Determinant bundle over the universal moduli space of vector bundles over the Teichmüller space},
url = {http://eudml.org/doc/75248},
volume = {47},
year = {1997},
}

TY - JOUR
AU - Biswas, Indranil
TI - Determinant bundle over the universal moduli space of vector bundles over the Teichmüller space
JO - Annales de l'institut Fourier
PY - 1997
PB - Association des Annales de l'Institut Fourier
VL - 47
IS - 3
SP - 885
EP - 914
AB - 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.
LA - eng
KW - moduli space; determinant bundle; Quillen metric
UR - http://eudml.org/doc/75248
ER -

References

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