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Riemann–Roch for Real Varieties

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Algebra, Arithmetic, and Geometry

Part of the book series: Progress in Mathematics ((PM,volume 269))

Summary

We prove a Riemann–Roch type result for any smooth family of smooth oriented compact manifolds. It describes the class of the conjectural higher determinantal gerbe associated to the fibers of the family.

2000 Mathematics Subject Classifications: 57R20 58J (Primary); 17B65 (Secondary)

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Author information

Authors and Affiliations

  1. I.A.S., Princeton, USA

    Paul Bressler

  2. Yale University, New Haven, USA

    Mikhail Kapranov

  3. Northwestern University, Chicago, USA

    Boris Tsygan

  4. Université Paris 7, Paris, France

    Eric Vasserot

Authors
  1. Paul Bressler
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  2. Mikhail Kapranov
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  3. Boris Tsygan
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  4. Eric Vasserot
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Corresponding author

Correspondence to Paul Bressler .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Courant Institute of Math. Sciences, New York University, Mercer St. 251, New York, 10012, New York, USA

    Yuri Tschinkel

  2. Eberly College of Science, Dept. Mathematics, Pennsylvania State University, University Park, 16802, Pennsylvania, USA

    Yuri Zarhin

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Bressler, P., Kapranov, M., Tsygan, B., Vasserot, E. (2009). Riemann–Roch for Real Varieties. In: Tschinkel, Y., Zarhin, Y. (eds) Algebra, Arithmetic, and Geometry. Progress in Mathematics, vol 269. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4745-2_4

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