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K-Theory, Arithmetic and Geometry

Seminar, Moscow University, 1984-1986

  • Book
  • © 1987

Overview

Editors:
  1. Yuri I. Manin

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

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About this book

This volume of research papers is an outgrowth of the Manin Seminar at Moscow University, devoted to K-theory, homological algebra and algebraic geometry. The main topics discussed include additive K-theory, cyclic cohomology, mixed Hodge structures, theory of Virasoro and Neveu-Schwarz algebras.

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Table of contents (9 chapters)

  1. Front Matter

    Pages I-IV
    Download chapter PDF

  2. Height pairing between algebraic cycles

    • A. A. Beilinson
    Pages 1-26

  3. On the derived category of perverse sheaves

    • A. A. Beilinson
    Pages 27-41

  4. How to glue perverse sheaves

    • A. A. Beilinson
    Pages 42-51

  5. Sheaves of the Virasoro and Neveu-Schwarz algebras

    • A. A. Beilinson, Yu. I. Manin, V. V. Schechtman
    Pages 52-66

  6. Additive K-theory

    • B. L. Feigin, B. L. Tsygan
    Pages 67-209

  7. Cyclic homology of algebras with quadratic relations, universal enveloping algebras and group algebras

    • B. L. Feigin, B. L. Tsygan
    Pages 210-239

  8. On homotopy limit of homotopy algebras

    • V. A. Hinich, V. V. Schechtman
    Pages 240-264

  9. On the delooping of Chern character and Adams operations

    • V. V. Schechtman
    Pages 265-319

  10. Noncommutative residue Chapter I. Fundamentals

    • Mariusz Wodzicki
    Pages 320-399

  11. Back Matter

    Pages 401-402
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Bibliographic Information

  • Book Title: K-Theory, Arithmetic and Geometry

  • Book Subtitle: Seminar, Moscow University, 1984-1986

  • Editors: Yuri I. Manin

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0078363

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1987

  • Softcover ISBN: 978-3-540-18571-0Published: 04 November 1987

  • eBook ISBN: 978-3-540-48016-7Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VIII, 404

  • Topics: Algebraic Topology, Category Theory, Homological Algebra, Algebraic Geometry

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