Algebraic cobordism
Author(s)
Bibliographic Information
Algebraic cobordism
(Springer monographs in mathematics)
Springer, c2007
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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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