Mathematics – Geometric Topology
Scientific paper
2004-07-22
Fundamenta Mathematicae 190 (2006), 245-288
Mathematics
Geometric Topology
42 pages, 36 figures
Scientific paper
A Dehn sphere in a closed 3-manifold M is a 2-sphere immersed in M with only double curve and triple point singularities. The Dehn sphere S fills M if it defines a cell-decomposition of M. The inverse image in S^{2} of the double curves of S is the Johansson diagram of S and if S fills M it is possible to reconstruct M from the diagram. A Johansson representation of M is the Johansson diagram of a filling Dehn sphere of M. In a recent paper of J. M. Montesinos it is proved that every closed 3-manifold has a Johansson representation coming from a nulhomotopic filling Dehn sphere. In this paper a set of moves for Johansson representations of 3-manifolds is given. In a forthcoming paper it is proved that this set of moves suffices for relating different Johansson representations of the same 3-manifold coming from nulhomotopic filling Dehn spheres. The proof of this result is outlined here.
Vigara Rubén
No associations
LandOfFree
A set of moves for Johansson representation of 3-manifolds. An outline 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 A set of moves for Johansson representation of 3-manifolds. An outline, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A set of moves for Johansson representation of 3-manifolds. An outline will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-246364