1987 Fiscal Year Final Research Report Summary
Co-operative Research of Topology
| Project/Area Number |
61302004
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| Research Category |
Grant-in-Aid for Co-operative Research (A)
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| Allocation Type | Single-year Grants |
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| Research Field |
代数学・幾何学
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| Research Institution | Osaka University |
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Principal Investigator |
KAWAKUBO Katsuo Osaka University, Associate Professor, 理学部, 助教授 (50028198)
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| Co-Investigator(Kenkyū-buntansha) |
SAKAI Katsuro Tsukuba University, Assistant Professor, 数学系, 講師 (50036084)
NISHIDA Goro Kyoto University, Associate Professor, 理学部, 助教授 (00027377)
MATSUMOTO Yukio Tokyo University, Associate Professor, 理学部, 助教授 (20011637)
OKA Mutsuo Tokyo Institute of Technology, Associate Professor, 理学部, 助教授 (40011697)
KATO Mitsuyoshi Kyushu University, Professor, 理学部, 教授 (60012481)
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| Project Period (FY) |
1986 – 1987
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| Keywords | 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 |
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| Research Abstract |
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.
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