Probing mapping class groups using arcs

Details Probing mapping class groups using arcs Probing mapping class groups using arcs

2005-05-26

arxiv.org/abs/math/0505595v2

Mathematics

Geometric Topology

21 pages, 6 figures, expanded version

Scientific paper

The action of the mapping class group of a surface on the collection of homotopy classes of disjointly embedded curves or arcs in the surface is discussed here as a tool for understanding Riemann's moduli space and its topological and geometric invariants. Furthermore, appropriate completions, elaborations, or quotients of the set of all such homotopy classes of curves or arcs give for instance Thurston's boundary for Teichm\"uller space or a combinatorial description of moduli space in terms of fatgraphs. Related open problems and questions are discussed.

Affiliated with

Also associated with

No associations

Rating

Probing mapping class groups using 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 Probing mapping class groups using arcs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Probing mapping class groups using arcs will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-522861