ExceptionalDehn surgeries on hyperbolic knots

双曲线结的 ExceptionalDehn 手术

• 批准号: 22540088
• 负责人: TERAGAITO Masakazu
• 金额: $ 1.41万
• 依托单位: Hiroshima University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2010
• 资助国家: 日本
• 起止时间: 2010 至 2012
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22540088/
• 关键词: 位相幾何学; 結び目; 3次元多様体; デーン手術; 不変順序; 左不変順序

Recently, there has been a lot of interest in the problem whenthe fundamental groups of 3-manifolds admit left-orderings. In particular, there is a conjecture that the class of irreducible L-spaces coincides with the class of 3-manifolds whose fundamental groups admit no left-orderings. In this research, we examined the resulting 3-manifolds by Dehn surgery on 2-bridge knots, and obtained several values and ranges of surgery slopes giving left-orderable fundamental groups.

近年来，三维流形的基本群是否允许左序的问题引起了人们的极大兴趣。特别是，有一个猜想，即不可约L-空间类与其基本群不允许左序的3-流形类重合。在这项研究中，我们研究了所产生的3-流形的Dehn手术2桥结，并获得了几个值和范围的手术斜率给左序基本群。

项目成果

Left-orderable fundamental group and Dehn surgery on twist knots

左序基本组和扭结上的 Dehn 手术

• 发表时间: 2013
• 作者: Vitalij Chatyrko;Yasunao Hattori(発表者:服部泰直);Yasunao Hattori;Yasunao Hattori;Nakamoto Kazunori and Torii Takeshi;Daniel G Davis and Torii Takeshi;Kazunori Nakamoto and Takeshi Torii;Daniel G Davis and Takeshi Torii;Nakamoto Kazunori and Torii Takeshi;Torii Takeshi;Torii Takeshi;Torii Takeshi;Torii Takeshi;Tori i Takeshi;Torii Takeshi;Torii Takeshi;Torii Takeshi;Tori i Takeshi;鳥居 猛;鳥居 猛;Torii Takeshi;Torii Takeshi;Tori i Takeshi;鳥居 猛;鳥居 猛;Adam Clay and Masakazu Teragaito;Masakazu Teragaito;寺垣内 政一;寺垣内 政一
• 通讯作者: 寺垣内 政一

Left-orderability and exceptional Dehn surgery on two-bridge knots

两桥结的左可排序性和特殊 Dehn 手术

• 期刊: Contemporary Mathematics Series
• 作者: Vitalij Chatyrko;Yasunao Hattori(発表者:服部泰直);Yasunao Hattori;Yasunao Hattori;Nakamoto Kazunori and Torii Takeshi;Daniel G Davis and Torii Takeshi;Kazunori Nakamoto and Takeshi Torii;Daniel G Davis and Takeshi Torii;Nakamoto Kazunori and Torii Takeshi;Torii Takeshi;Torii Takeshi;Torii Takeshi;Torii Takeshi;Tori i Takeshi;Torii Takeshi;Torii Takeshi;Torii Takeshi;Tori i Takeshi;鳥居 猛;鳥居 猛;Torii Takeshi;Torii Takeshi;Tori i Takeshi;鳥居 猛;鳥居 猛;Adam Clay and Masakazu Teragaito
• 通讯作者: Adam Clay and Masakazu Teragaito

2橋結び目の例外的デーン手術と左不変順序

丹麦人出色的手术，对两个桥结进行了手术，并且顺序保持不变

• 发表时间: 2012
• 作者: Vitalij Chatyrko;Yasunao Hattori(発表者:服部泰直);Yasunao Hattori;Yasunao Hattori;Nakamoto Kazunori and Torii Takeshi;Daniel G Davis and Torii Takeshi;Kazunori Nakamoto and Takeshi Torii;Daniel G Davis and Takeshi Torii;Nakamoto Kazunori and Torii Takeshi;Torii Takeshi;Torii Takeshi;Torii Takeshi;Torii Takeshi;Tori i Takeshi;Torii Takeshi;Torii Takeshi;Torii Takeshi;Tori i Takeshi;鳥居 猛;鳥居 猛;Torii Takeshi;Torii Takeshi;Tori i Takeshi;鳥居 猛;鳥居 猛;Adam Clay and Masakazu Teragaito;Masakazu Teragaito;寺垣内 政一;寺垣内 政一;寺垣内 政一;寺垣内政一
• 通讯作者: 寺垣内政一

ツイスト結び目のデーン手術と左不変順序

扭结和左不变序的戴恩手术

• 发表时间: 2013
• 作者: Vitalij Chatyrko;Yasunao Hattori(発表者:服部泰直);Yasunao Hattori;Yasunao Hattori;Nakamoto Kazunori and Torii Takeshi;Daniel G Davis and Torii Takeshi;Kazunori Nakamoto and Takeshi Torii;Daniel G Davis and Takeshi Torii;Nakamoto Kazunori and Torii Takeshi;Torii Takeshi;Torii Takeshi;Torii Takeshi;Torii Takeshi;Tori i Takeshi;Torii Takeshi;Torii Takeshi;Torii Takeshi;Tori i Takeshi;鳥居 猛;鳥居 猛;Torii Takeshi;Torii Takeshi;Tori i Takeshi;鳥居 猛;鳥居 猛;Adam Clay and Masakazu Teragaito;Masakazu Teragaito;寺垣内 政一
• 通讯作者: 寺垣内 政一

2 橋結び目の例外的デーン手術と左不変順序

2 杰出的 Dane 桥结手术和左不变序

• 发表时间: 2012
• 作者: Vitalij Chatyrko;Yasunao Hattori(発表者:服部泰直);Yasunao Hattori;Yasunao Hattori;Nakamoto Kazunori and Torii Takeshi;Daniel G Davis and Torii Takeshi;Kazunori Nakamoto and Takeshi Torii;Daniel G Davis and Takeshi Torii;Nakamoto Kazunori and Torii Takeshi;Torii Takeshi;Torii Takeshi;Torii Takeshi;Torii Takeshi;Tori i Takeshi;Torii Takeshi;Torii Takeshi;Torii Takeshi;Tori i Takeshi;鳥居 猛;鳥居 猛;Torii Takeshi;Torii Takeshi;Tori i Takeshi;鳥居 猛;鳥居 猛;Adam Clay and Masakazu Teragaito;Masakazu Teragaito;寺垣内 政一;寺垣内 政一;寺垣内 政一
• 通讯作者: 寺垣内 政一