| Algebraic Cobordism 2007 Edition Contributor(s): Levine, Marc (Author), Morel, Fabien (Author) |
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ISBN: 3540368221 ISBN-13: 9783540368229 Publisher: Springer OUR PRICE: $104.49 Product Type: Hardcover - Other Formats Published: January 2007 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Geometry - Algebraic - Mathematics | Algebra - General - Mathematics | Topology - General |
| Dewey: 514.72 |
| LCCN: 2006936486 |
| Series: Springer Monographs in Mathematics |
| Physical Information: 0.77" H x 6.36" W x 9.4" (1.11 lbs) 246 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |