Algebraic Cobordism, II, by Marc Levine

In this paper, we complete the program started in our joint work with F. Morel, Algebraic Cobordism I, by defining pull-back maps in algebraic cobordism for local complete intersection morphisms. This gives algebraic cobordism the structure of an oriented Borel-Moore homology theory on finite type k-schemes, where k is a field admitting resolution of singularities. We also extend many of the results of Algebraic Cobordism I, such as the degree formulas, to local complete intersection schemes.


Marc Levine <marc@neu.edu>