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On the delooping of Chern character and Adams operations

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K-Theory, Arithmetic and Geometry

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1289))

Abstract

The polysimplicial schemes representing the spectrum of algebraic K-theory are constructed. Their cohomology and K-theory is partially computed, with application to the construction of the delooping of Chern character and Adams operations. The interpretation of \(ch|_{K_i }\) as a cohomology operation of higher order with respect to \(ch|_{K_{i - 1} }\) is given.

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Authors
  1. V. V. Schechtman
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Yuri I. Manin

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© 1987 Springer-Verlag

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Schechtman, V.V. (1987). On the delooping of Chern character and Adams operations. In: Manin, Y.I. (eds) K-Theory, Arithmetic and Geometry. Lecture Notes in Mathematics, vol 1289. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078371

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  • DOI: https://doi.org/10.1007/BFb0078371

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18571-0

  • Online ISBN: 978-3-540-48016-7

  • eBook Packages: Springer Book Archive

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