A calculus for ideal triangulations of three-manifolds with embedded arcs

Details A calculus for ideal triangulations of three-manifolds with embedded arcs A calculus for ideal triangulations of three-manifolds with embedded arcs

2003-01-20

arxiv.org/abs/math/0301219v1

Math. Nachr. 278-9 (2005) 975-994

Mathematics

Geometric Topology

32 pages, 30 figures

Scientific paper

10.1002/mana.200310285

Refining the notion of an ideal triangulation of a compact three-manifold, we provide in this paper a combinatorial presentation of the set of pairs (M,a), where M is a three-manifold and a is a collection of properly embedded arcs. We also show that certain well-understood combinatorial moves are sufficient to relate to each other any two refined triangulations representing the same (M,a). Our proof does not assume the Matveev-Pergallini calculus for ideal triangulations, and actually easily implies this calculus.

Affiliated with

Also associated with

No associations

Rating

A calculus for ideal triangulations of three-manifolds with embedded arcs 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 calculus for ideal triangulations of three-manifolds with embedded arcs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A calculus for ideal triangulations of three-manifolds with embedded arcs will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-307067