On converting a side-pairing to a handle decomposition

Details On converting a side-pairing to a handle decomposition On converting a side-pairing to a handle decomposition

2008-10-22

arxiv.org/abs/0810.4183v1

Mathematics

Geometric Topology

Scientific paper

We give a method for obtaining a handle decomposition of an $n$-manifold if the manifold is given by isometric side-pairings of a polyhedron in $\en$, $\sn$ or $\hn$. Every cycle of $k$-faces on the polyhedron corresponds to an $(n-k)$-handle of the manifold. Two applications of the method are given. One helps recognize when a noncompact hyperbolic 3-manifold is a complement of a link in $S^3$ (and automatically produces the link diagram), the other shows that a topological $S^4$ described by the author in \cite{Ivansic3} is diffeomorphic to the standard differentiable $S^4$.

Affiliated with

Also associated with

No associations

Rating

On converting a side-pairing to a handle decomposition 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 converting a side-pairing to a handle decomposition, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On converting a side-pairing to a handle decomposition will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-680004