Diagonal Transformations in Quadrangulations and Dehn Twists Preserving Cycle Parities

Diagonal Transformations in Quadrangulations and Dehn Twists Preserving Cycle Parities
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四边形中的对角线变换和 Dehn 扭曲保持周期奇偶性

DOI:
10.1006/jctb.1997.1730
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发表时间:
1997
期刊:
J. Comb. Theory B
影响因子:
--
通讯作者:
K. Ota
K. Ota
中科院分区:
--
文献类型:
--
作者:
Atsuhiro Nakamoto;K. Ota

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本文将证明,具有相同且足够大顶点数的任意两个可定向封闭曲面的四边形,如果它们具有相同的同调结构,则可以通过对角滑动和对角旋转序列相互转化,直至同位素。
It will be shown that any two quadrangulations of an orientable closed surface with the same and sufficiently large number of vertices can be transformed into each other, up to isotopy, by a sequence of diagonal slides and diagonal rotations if they have the same homological structure.
DOI: 10.1017/s030500410003824x
发表时间: 1964-10
影响因子: 0.8
作者:
W. Lickorish
通讯作者: W. Lickorish