Complex cobordisms and singular manifolds arising from Chern classes

Details Complex cobordisms and singular manifolds arising from Chern classes Complex cobordisms and singular manifolds arising from Chern classes

2008-07-30

arxiv.org/abs/0807.4894v1

Mathematics

Algebraic Topology

Scientific paper

This paper deals with the question of J.Morava on existence of canonical complex cobordism class of singular submanifold. We present several solutions of this question for $X_r(\xi)$ -- the set of points where $\dim\xi-r+1$ generic sections of a complex vector bundle $\xi$ are linearly dependent. The corresponding complex cobordism classes $Q_r(\xi)$ and $P_r(\xi)$ tend to have many nice properties, such as deformed sum formula, but they don't coincide with Chern classes $c_r^U(\xi)$. They also have relation to the theory of $IH$-small resolutions.

Affiliated with

Also associated with

No associations

Rating

Complex cobordisms and singular manifolds arising from Chern classes 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 Complex cobordisms and singular manifolds arising from Chern classes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Complex cobordisms and singular manifolds arising from Chern classes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-259827