Normal Tori in $\sharp_n (S^2\times S^1)$

Details Normal Tori in $\sharp_n (S^2\times S^1)$ Normal Tori in $\sharp_n (S^2\times S^1)$

2011-12-16

arxiv.org/abs/1112.3693v1

Mathematics

Geometric Topology

14 pages, 4 figures

Scientific paper

The fundamental group of $M = \sharp_n (S^2\times S^1)$ is $F_n$, the free group with $n$ generators. There is a 1-1 correspondence between the $\mathbb{Z}$-- splittings of $F_n$ and embedded essential tori in $M$. We define and prove a local notion of minimal intersection of a torus with respect to a maximal sphere system in $M$, which generalizes Hatcher's work \cite{H1} on 2-spheres in the same manifold.

Affiliated with

Also associated with

No associations

Rating

Normal Tori in $\sharp_n (S^2\times S^1)$ 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 Normal Tori in $\sharp_n (S^2\times S^1)$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Normal Tori in $\sharp_n (S^2\times S^1)$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-136292