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The Arithmetic and Geometry of Algebraic Cycles pp 3–28Cite as

Lectures on Algebro-Geometric Chern-Weil and Cheeger-Chern-Simons Theory for Vector Bundles

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Part of the book series: NATO Science Series ((ASIC,volume 548))

Abstract

An algebraic theory of differential characters [16], [17] is outlined. A Riemann-Roch theorem for regular flat bundles, using a weak form of these classes, is described. Full details of the proof are available in a manuscript on the web [6].

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Author information

Authors and Affiliations

  1. Dept. of Mathematics, University of Chicago, Chicago, IL, 60637, USA

    Spencer Bloch

  2. FB 6, Mathematik, Universität Essen, 45 117, Germany

    Hélène Esnault

Authors
  1. Spencer Bloch
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  2. Hélène Esnault
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Editor information

Editors and Affiliations

  1. University of Oklahoma, Norman, Oklahoma, USA

    B. Brent Gordon

  2. University of Alberta, Edmonton, Alberta, Canada

    James D. Lewis

  3. Universität-GH-Essen, Essen, Germany

    Stefan Müller-Stach

  4. Tokyo Institute of Technology, Tokyo, Japan

    Shuji Saito

  5. Queen’s University, Kingston, Ontario, Canada

    Noriko Yui

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© 2000 Springer Science+Business Media Dordrecht

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Bloch, S., Esnault, H. (2000). Lectures on Algebro-Geometric Chern-Weil and Cheeger-Chern-Simons Theory for Vector Bundles. In: Gordon, B.B., Lewis, J.D., Müller-Stach, S., Saito, S., Yui, N. (eds) The Arithmetic and Geometry of Algebraic Cycles. NATO Science Series, vol 548. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4098-0_1

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  • DOI: https://doi.org/10.1007/978-94-011-4098-0_1

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-6194-7

  • Online ISBN: 978-94-011-4098-0

  • eBook Packages: Springer Book Archive

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