Positive flow-spines and contact 3-manifolds, II

被引：0
|
作者：
Ishii, Ippei [1 ]
Ishikawa, Masaharu [2 ]
Koda, Yuya [2 ,3 ]
Naoe, Hironobu [4 ]
机构：
[1] Keio Univ, Fac Sci & Technol, Dept Math, 3-14-1 Hiyoshi,Kohoku Ku, Yokohama 2238522, Japan
[2] Keio Univ, Dept Math, Hiyoshi Campus,4-1-1 Hiyoshi,Kohoku, Yokohama 2238521, Japan
[3] Hiroshima Univ, Int Inst Sustainabil Knotted Chiral Meta Matter WP, 1-7-1 Kagamiyama, Higashihiroshima 7398526, Japan
[4] Chuo Univ, Dept Math, 1-13-27 Kasuga,Bunkyo Ku, Tokyo 1128551, Japan
来源：
ANNALI DI MATEMATICA PURA ED APPLICATA | 2024年 / 203卷 / 03期
关键词：
3-Dimensional manifold; Contact structure; Flow; Spine; Polyhedron;
D O I：
10.1007/s10231-023-01400-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In our previous paper, it is proved that for any positive flow-spine P of a closed, oriented 3-manifold M, there exists a unique contact structure supported by P up to isotopy. In particular, this defines a map from the set of isotopy classes of positive flow-spines of M to the set of isotopy classes of contact structures on M. In this paper, we show that this map is surjective. As a corollary, we show that any flow-spine can be deformed to a positive flow-spine by applying first and second regular moves successively.
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页码：1251 / 1266
页数：16
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