Algebraic cobordism

Author(s)

Bibliographic Information

Algebraic cobordism

Marc Levine, Fabien Morel

(Springer monographs in mathematics)

Springer, c2007

Available at  / 30 libraries

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Note

Includes bibliographical references (p. [237]-238) and index

Description and Table of Contents

Description

Following Quillen's approach to complex cobordism, the authors introduce the notion of oriented cohomology theory on the category of smooth varieties over a fixed field. They prove the existence of a universal such theory (in characteristic 0) called Algebraic Cobordism. The book also contains some examples of computations and applications.

Table of Contents

Cobordism and oriented cohomology.- The definition of algebraic cobordism.- Fundamental properties of algebraic cobordism.- Algebraic cobordism and the Lazard ring.- Oriented Borel-Moore homology.- Functoriality.- The universality of algebraic cobordism.

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Details

  • NCID
    BA80237503
  • ISBN
    • 3540368221
  • Country Code
    gw
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Berlin
  • Pages/Volumes
    xii, 244 p.
  • Size
    25 cm
  • Classification
  • Parent Bibliography ID
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