Description

Book Synopsis

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.

Algebraic Cobordism

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    A Hardback by Marc Levine, Fabien Morel

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      Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
      Publication Date: 09/01/2007
      ISBN13: 9783540368229, 978-3540368229
      ISBN10: 3540368221
      Also in:
      Mathematics Algebraic geometry Algebraic topology Topology

      Description

      Book Synopsis

      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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