Study for 3-mainfolds and knots, links and graphs contained in them

3-mainfolds 及其中包含的结、链接和图表的研究

• 批准号: 12640091
• 负责人: KOBAYASHI Kazuaki
• 金额: $ 1.92万
• 依托单位: Tokyo Woman's Christian University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2000
• 资助国家: 日本
• 起止时间: 2000 至 2001
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-12640091/
• 关键词: Local move; Ribbon link; Vassiliev invariant; Spatial graph; Homology sphere; Moonshine VOA; Hardy space; D-module; spatial graph; homology sphere; boundary link

We studied 3-maintolds itself and knote, links and graphs contained in 3-maintolds. And we held symposiums or workshops sevel times studing there (Mn-move) and studied the differences among foundary links, h-split links and sparate ribbon links using Mn-move. And we also showed that Mn-moves can be used a classification of ribbon knots. We studied vassiliev invariants for spatial graphs in the 3-sphere. And also studied to divide a topological space into two disjoint homeomorphic spaces.

研究了3-maintolds本身以及3-maintolds中包含的节点、链接和图。我们在那里（Mn-move）举行了几次研讨会或研讨会，研究了使用Mn-move的基础链接，h-分割链接和独立带状链接之间的差异。我们还证明了Mn移动可以用于带状结的分类。研究了三维球面上空间图的vassiliev不变量。并研究了将一个拓扑空间分解为两个不相交的同胚空间的问题。

项目成果

Takeshi Kondo: "The calculation of the character of Moonshine VOA"Advanced Studies in Pure Mathematics. 32. 325-336 (2001)

Takeshi Kondo：“Moonshine VOA 的特征计算”纯数学高级研究。

K, Kobayashi: "Ribbon link and Separate ribbon link"Hakone Seminar. 7-28 (2000)

K，小林：“丝带链接和单独的丝带链接”箱根研讨会。

Makiko Ishiwata: "A surgery decoration of an integral homology three sphere respecting the caisson invariant"J. Knot Theory and its Ramifications. 19(6). 907-911 (2001)

Makiko Ishiwata：“尊重沉箱不变量的积分同调三球体的手术装饰”J.

Makiko Ishiwata: "A surgery description of an integral homology three-sphere respecting the Casson invariant"J. Knot Theory and its Ramifications. 10(6). 907-911 (2001)

Makiko Ishiwata：“尊重卡森不变量的积分同调三球体的手术描述”J。

J.Przytycki, K.Taniyama: "The Kanenobu-Miyazawa conjecture and the Vassiliev-Gusarov Skein modules based on Mixed crossings"Proc. American Mathematical Society. 129(9). 2799-2802 (2001)

J.Przytycki，K.Taniyama：“Kanenobu-Miyazawa 猜想和基于混合交叉的 Vassiliev-Gusarov Skein 模块”Proc。