正流棘与接触三漫游，II

IF 1 3区数学 Q1 MATHEMATICS

Annali di Matematica Pura ed Applicata Pub Date : 2023-12-07 DOI:10.1007/s10231-023-01400-4

Ippei Ishii, Masaharu Ishikawa, Yuya Koda, Hironobu Naoe

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引用次数: 0

摘要

在我们之前的论文中，我们证明了对于闭合定向三芒星 M 的任何正流刺 P，都存在一个由 P 支持的唯一接触结构（直到等式）。特别是，这定义了一个从 M 的正流刺等距类集合到 M 上接触结构等距类集合的映射。作为推论，我们证明任何流刺都可以通过连续应用第一和第二规则移动变形为正流刺。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Positive flow-spines and contact 3-manifolds, II

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Positive flow-spines and contact 3-manifolds, II

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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来源期刊

Annali di Matematica Pura ed Applicata 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal, the oldest scientific periodical in Italy, was originally edited by Barnaba Tortolini and Francesco Brioschi and has appeared since 1850. Nowadays it is managed by a nonprofit organization, the Fondazione Annali di Matematica Pura ed Applicata, c.o. Dipartimento di Matematica "U. Dini", viale Morgagni 67A, 50134 Firenze, Italy, e-mail annali@math.unifi.it). A board of Italian university professors governs the Fondazione and appoints the editors of the journal, whose responsibility it is to supervise the refereeing process. The names of governors and editors appear on the front page of each issue. Their addresses appear in the title pages of each issue.