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

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	1128-1135
Number of pages	8
Journal	Discrete Mathematics
Volume	311
Issue number	13
DOIs	https://doi.org/10.1016/j.disc.2010.08.003
Publication status	Published - 2011 Jul 6

Keywords

Dehn twist
Even triangulation
Isotopy
Monodromy
N-flip
Surface

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics

Access to Document

10.1016/j.disc.2010.08.003

Cite this

@article{a37c7d72d9e447629432f0fe236063eb,

title = "N-flips in even triangulations on the torus and Dehn twists preserving monodromies",

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.",

keywords = "Dehn twist, Even triangulation, Isotopy, Monodromy, N-flip, Surface",

author = "Yusuke Higuchi and Atsuhiro Nakamoto and Katsuhiro Ota and Tadashi Sakuma",

year = "2011",

month = jul,

day = "6",

doi = "10.1016/j.disc.2010.08.003",

language = "English",

volume = "311",

pages = "1128--1135",

journal = "Discrete Mathematics",

issn = "0012-365X",

publisher = "Elsevier",

number = "13",

}

TY - JOUR

T1 - N-flips in even triangulations on the torus and Dehn twists preserving monodromies

AU - Higuchi, Yusuke

AU - Nakamoto, Atsuhiro

AU - Ota, Katsuhiro

AU - Sakuma, Tadashi

PY - 2011/7/6

Y1 - 2011/7/6

N2 - 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.

AB - 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.

KW - Dehn twist

KW - Even triangulation

KW - Isotopy

KW - Monodromy

KW - N-flip

KW - Surface

UR - http://www.scopus.com/inward/record.url?scp=79955473950&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79955473950&partnerID=8YFLogxK

U2 - 10.1016/j.disc.2010.08.003

DO - 10.1016/j.disc.2010.08.003

M3 - Article

AN - SCOPUS:79955473950

VL - 311

SP - 1128

EP - 1135

JO - Discrete Mathematics

JF - Discrete Mathematics

SN - 0012-365X

IS - 13

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this