Comparison of cobordism theories

Details Comparison of cobordism theories Comparison of cobordism theories

2008-07-14

arxiv.org/abs/0807.2238v1

Mathematics

K-Theory and Homology

22 pages

Scientific paper

Relying on results of Hopkins-Morel, we show that, for $X$ a quasi-projective variety over a field of characteristic zero, the canonical map $\Omega_n(X)\to MGL_{2n,n}'(X)$ is an isomorphism. Here $\Omega_*(X)$ is the theory of algebraic cobordism defined by Levine-Morel, and $MGL_{*,*}'$ is the Borel-Moore homology version of the theory of algebraic cobordism defined via the algebraic Thom complex in the Morel-Voevodsky motivic stable homotopy category.

Affiliated with

Also associated with

No associations

Rating

Comparison of cobordism theories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Comparison of cobordism theories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Comparison of cobordism theories will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-595322