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Axiomatic, Enriched and Motivic Homotopy Theory pp 261–333Cite as

Riemann-Roch Theorems for Oriented Cohomology

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Part of the book series: NATO Science Series ((NAII,volume 131))

Abstract

The notion of an oriented cohomology pretheory on algebraic varieties is introduced and a Riemann-Roch theorem for ring morphisms between oriented pretheories is proved. An explicit formula for the Todd genus related to a ring morphism is given. The theory is illustrated by classical and other examples.

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Authors and Affiliations

  1. Steklov Institute, St Petersburg, Russia

    I. Panin & A. Smirnov

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  1. I. Panin
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  2. A. Smirnov
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Editor information

Editors and Affiliations

  1. University of Sheffield, UK

    J. P. C. Greenlees

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© 2004 Springer Science+Business Media Dordrecht

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Panin, I., Smirnov, A. (2004). Riemann-Roch Theorems for Oriented Cohomology. In: Greenlees, J.P.C. (eds) Axiomatic, Enriched and Motivic Homotopy Theory. NATO Science Series, vol 131. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0948-5_8

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  • DOI: https://doi.org/10.1007/978-94-007-0948-5_8

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-1834-3

  • Online ISBN: 978-94-007-0948-5

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