N-flips in even triangulations on the torus and Dehn twists preserving monodromies

作者：Higuchi Yusuke; Nakamoto Atsuhiro^*; Ota Katsuhiro; Sakuma Tadashi

来源：Discrete Mathematics, 2011, 311(13): 1128-1135.

DOI：10.1016/j.disc.2010.08.003

• Even triangulation
• Surface
• N-flip
• Isotopy
• Dehn twist
• Monodromy

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 P(2)-flip, up to isotopy, if and only if they have the same monodromy.

• 出版日期2011-7-6