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

Yusuke Higuchi; Atsuhiro Nakamoto; Katsuhiro Ota; Tadashi Sakuma

doi:10.1016/j.disc.2010.08.003

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

Yusuke Higuchi, Atsuhiro Nakamoto, Katsuhiro Ota, Tadashi Sakuma

数理科学科

研究成果: Article › 査読

7 被引用数 (Scopus)

抄録

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.

本文言語	English
ページ（範囲）	1128-1135
ページ数	8
ジャーナル	Discrete Mathematics
巻	311
号	13
DOI	https://doi.org/10.1016/j.disc.2010.08.003
出版ステータス	Published - 2011 7月 6

ASJC Scopus subject areas

理論的コンピュータサイエンス
離散数学と組合せ数学

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10.1016/j.disc.2010.08.003

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AU - Sakuma, Tadashi

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KW - Isotopy

KW - Monodromy

KW - N-flip

KW - Surface

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

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