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

Yusuke Higuchi, Atsuhiro Nakamoto, Katsuhiro Ota, Tadashi Sakuma

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)1128-1135
Number of pages8
JournalDiscrete Mathematics
Volume311
Issue number13
DOIs
Publication statusPublished - 2011 Jul 6

Keywords

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

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics

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