Algebraic Cobordism

• Main Authors: Levine, Marc (Author), Morel, Fabien (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.
• Series: Springer Monographs in Mathematics,
• Subjects: Mathematics.; Algebraic geometry.; Commutative algebra.; Commutative rings.; K-theory.; Topology.; Algebraic topology.; Algebraic Topology.; Algebraic Geometry.; Commutative Rings and Algebras.; K-Theory.

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 theo...