Fundamental classes of negatively curved manifolds cannot be represented by products of manifolds

Details Fundamental classes of negatively curved manifolds cannot be represented by products of manifolds Fundamental classes of negatively curved manifolds cannot be represented by products of manifolds

2008-04-21

arxiv.org/abs/0804.3242v3

Mathematics

Algebraic Topology

this preprint is superseded by arXiv:0806.4540; 8 pages

Scientific paper

Not every singular homology class is the push-forward of the fundamental class of some manifold. In the same spirit, one can study the following problem: Which singular homology classes are the push-forward of the fundamental class of a given type of manifolds? In the present article, we show that the fundamental classes of negatively curved manifolds cannot be represented by a non-trivial product of manifolds. This observation sheds some light on the functorial semi-norm on singular homology given by products of compact surfaces.

Affiliated with

Also associated with

No associations

Rating

Fundamental classes of negatively curved manifolds cannot be represented by products of manifolds 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 Fundamental classes of negatively curved manifolds cannot be represented by products of manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fundamental classes of negatively curved manifolds cannot be represented by products of manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-36173