In this paper, we show that any two even triangulations on the torus with the same and sufficiently large number of vertices can be transformed into each other by a sequence of two specifically defined deformations called an N-flip and a P2-flip, up to isotopy, if and only if they have the same monodromy.
- Dehn twist
- Even triangulation
ASJC Scopus subject areas
- Theoretical Computer Science
- Discrete Mathematics and Combinatorics