Algebraic Cobordism

by Fabien Morel, Marc Levine, Marc N. Levine

Book Overview

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...

• Format: Hardcover
• Language: English
• ISBN: 3540368221
• ISBN13: 9783540368229
• Release Date: January 2007
• Publisher: Springer
• Length: 246 Pages
• Weight: 1.11 lbs.
• Dimensions: 0.8" x 6.4" x 9.4"