On the non-existence of certain branched covers

Details On the non-existence of certain branched covers On the non-existence of certain branched covers

2010-08-10

arxiv.org/abs/1008.1694v1

Mathematics

Geometric Topology

Scientific paper

We prove that while there are maps $\bT^4\to\#^3(\bS^2\times\bS^2)$ of
arbitrarily large degree, there is no branched cover from $4$-torus to
$\#^3(\bS^2\times \bS^2)$. More generally, we obtain that, as long as $N$
satisfies a suitable cohomological condition, any $\pi_1$-surjective branched
cover $\bT^n \to N$ is a homeomorphism.

Affiliated with

Also associated with

No associations

Rating

On the non-existence of certain branched covers 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 On the non-existence of certain branched covers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the non-existence of certain branched covers will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-583667