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Advances in Geometry pp 107–146Cite as

Birkhäuser

Geometric Construction of Quillen Line Bundles

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Part of the book series: Progress in Mathematics ((PM,volume 172))

Abstract

The purpose of this paper is twofold. First we want to develop further and more systematically a cohomology theory adapted to holomorphic vector bundles with hermitian metrics, which in low degrees was introduced in joint work with McLaughlin [Br-ML2] [Br-ML3]Second we pursue cohomological and geometric definitions of the Quillen metric on determinant line bundles.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Penn State University, 305 McAllister, University Park, PA, 16802, USA

    Jean-Luc Brylinski

Authors
  1. Jean-Luc Brylinski
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Penn State University, University Park, PA, 16802, USA

    Jean-Luc Brylinski , Ranee Brylinski , Victor Nistor , Boris Tsygan  & Ping Xu , , ,  & 

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© 1999 Springer Science+Business Media New York

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Brylinski, JL. (1999). Geometric Construction of Quillen Line Bundles. In: Brylinski, JL., Brylinski, R., Nistor, V., Tsygan, B., Xu, P. (eds) Advances in Geometry. Progress in Mathematics, vol 172. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1770-1_7

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  • DOI: https://doi.org/10.1007/978-1-4612-1770-1_7

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-7274-8

  • Online ISBN: 978-1-4612-1770-1

  • eBook Packages: Springer Book Archive

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