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Algebraic Cobordism by Marc Levine
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Algebraic Cobordism

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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. Surprisingly, this theory satisfies the analogues of Quillen's theorems: the cobordism of the base field is the Lazard ring and the cobordism of a smooth variety is generated over the Lazard ring by the elements of positive degrees. This implies in particular the generalized degree formula conjectured by Rost. The book also contains some examples of computations and applications.
Release date NZ
November 30th, 2010
Audience
  • Professional & Vocational
Illustrations
XII, 246 p.
Pages
246
Dimensions
156x234x13
ISBN-13
9783642071911
Product ID
11081531

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