Abstract
Given a compact orientable surface, the mapping class group is shown to have a presentation so that the generators are the set of all Dehn twists and the relations are supported in subsurfaces homeomorphic to the one-holed torus or the four-holed sphere. It turns out that all the relations were discovered by Dehn in 1938.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 735-739 |
| Number of pages | 5 |
| Journal | Mathematical Research Letters |
| Volume | 4 |
| Issue number | 5 |
| DOIs | |
| State | Published - 1997 |
All Science Journal Classification (ASJC) codes
- General Mathematics