Co-operative Research of Topology

拓扑学合作研究

• 批准号: 61302004
• 负责人: KAWAKUBO Katsuo
• 金额: $ 10.24万
• 依托单位: Osaka University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Co-operative Research (A)
• 财政年份: 1986
• 资助国家: 日本
• 起止时间: 1986 至 1987
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-61302004/
• 关键词: Topology; Manifold; Foliations; Homotopy; Homology; Konot; Dynamical System; 特異点; 結び目; リンク; ブレイド群; Jones多項式; シンプレクティック多様体; 力学系; 変換群; モデュライ; 葉層

Topology Symposium was held at Ryukyu University and several symposia were also held by investigators. A joint conference with the international conference on Transformation Groups supported by Ministry of Education was held at Osaka University.In the following we describe some results which were obtained in this project. 1. S. Yokura and G. Kennedy, Specialization of Segre classes of singular algebraic varieties, to appear in J. Reine Angew. Math. (1988): this paper deals with the specialization of Serge classes of flat families. 2. O. Saeki, On simple fibered knots in S^5 and the existence of decomposable algebraic 3-knots, Comment. Math. Helv. (1987): this paper contains Theorem; there are infinite number of algebraic knots defined by complex polynomials of three variables which are not prime. 3. T. Mizutani, The Godbillon-Vey cocycle of Diff R^n, "A Fete of Topology", Academic Press, (1988): this paper states the Godbillon-Vey cocycle of Diff R^n explicitly. 4. M. C. Crabb, K. Knapp and K. Morisugi, On the stable Hurewicz image of stunted quaternionic projective spaces, Advanced Studies in Pure Math. (1986): this paper investigates the stable Hurewicz image of stunted quaternionic projective spaces.

拓扑研讨会在琉球大学举行，研究人员也举行了几次研讨会。在大坂大学与文部科学省资助的国际转化团体会议举行了联合会议。下面我们介绍一下在这个项目中获得的一些结果。1. S. Yokura和G.肯尼迪，专业化的塞格雷类的奇异代数簇，出现在J。数学（1988）：本文研究平坦族的Serge类的特殊化。2. O. Saeki，在S^5中的简单纤维结和可分解代数3-结的存在性，评论。数学。Helv.（1987年）：本文包含定理;由三元非素数复多项式定义的代数纽结有无穷多个。3. T. Mizutani，The Godbillon-Vey cocycle of Diff R^n，“A Fete of Topology”，Academic Press，（1988）：本文明确地阐述了Diff R^n的Godbillon-Vey cocycle。4. M. C.克拉布，K.克纳普和K. Morisugi，On the stable Hurewicz image of stunted quaternionic projective spaces，Advanced Studies in Pure Math.（1986）：本文研究了stunted quaternionic projective spaces的stable Hurewicz image。

项目成果

G. Nishida: Advanced Studies in Pure Math.9. 273-286 (1986)

G. Nishida：纯数学高级研究.9。

M.Kato: Topolpgy and Computer Science. 407-427 (1987)

M.Kato：拓扑学和计算机科学。

K. Kawakubo: The Theory of Transformation Groups. Iwanami Shoten, 324 (1987)

K. Kawakubo：变换群理论。

Y. Matsumoto: Topology. 25. 549-563 (1986)

Y. Matsumoto：拓扑。

Y. Matsumoto: "Diffeomorphism types of elliptic surfaces" Topology. 25. 549-563 (1986)

Y. Matsumoto：“椭圆曲面的微分同胚类型”拓扑。