Higher dimensional category and its applications
Higher dimensional category and its applications
批准号:
19540075
负责人:
NISHIDA Goro
金额:
$2.83万
依托单位:
依托单位国家:
日本
项目类别:
Grant-in-Aid for Scientific Research (C)
财政年份:
2007
资助国家:
日本
项目状态:
已结题
起止时间:
2007 至 2009
中文摘要
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英文摘要
It is shown that a based mapping space from a finite Postnikov space to a finite complex is contractible. This implies that either homology groups or homotopy groups is not bounded up to certain dimension. In particular the Serre conjecture, homotopy groups of a finite complex with torsion homology is not bounded, is proved.
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Lurie's Topological Quantum Field Theory
卢里的拓扑量子场论
DOI:
--
发表时间:
2009
期刊:
京都大学数理解析研究所講究録
影响因子:
--
作者:
[K. Saji, T. Sasaki, M. Yoshida, M.Yoshida, 南範彦]
通讯作者:
南範彦
Lusternik-Schnirelmann category of Spin (9)
自旋的 Lusternik-Schnirelmann 类别 (9)
DOI:
--
发表时间:
2007
期刊:
Trans. Amer. Math. Soc. 359
影响因子:
--
作者:
[Vitalij Chatyrko, Yasunao Hattori, Akira Kono and Norio Iwase]
通讯作者:
Akira Kono and Norio Iwase
Homotopy theoretical considerations of the Bauer-Furuta stable homotopy Seiberg-Witten invariants.
Bauer-Furuta 稳定同伦 Seiberg-Witten 不变量的同伦理论考虑。
DOI:
--
发表时间:
2007
期刊:
Proceedings of the Nishida Fest (Kinosaki 2003) 10
影响因子:
--
作者:
[Cuchillo-Ibanez, E. ; Dydak, J. ; Koyama, A. ; Moron, M. A, Mikio Furuta; Yukio Kametani; Norihiko Minami]
通讯作者:
Mikio Furuta; Yukio Kametani; Norihiko Minami
Lurie's Topological Quantum Field Theory II
卢里的拓扑量子场论 II
DOI:
--
发表时间:
2009
期刊:
影响因子:
--
作者:
[V. Gutev, T. Nogura, S. Maeda, 矢ヶ崎達彦, 南範彦]
通讯作者:
南範彦
Homotopy Theoretic Study of Higher Dimensional Categories
-
批准号:16540061
-
项目类别:Grant-in-Aid for Scientific Research (C)
-
资助金额:$2.37万
-
财政年份:2004
-
负责人:NISHIDA Goro
-
依托单位:
Algebraic topology and formal group law
-
批准号:13440022
-
项目类别:Grant-in-Aid for Scientific Research (B)
-
资助金额:$5.25万
-
财政年份:2001
-
负责人:NISHIDA Goro
-
依托单位:
Study on elliptic cohomology theory
-
批准号:08404002
-
项目类别:Grant-in-Aid for Scientific Research (A)
-
资助金额:$7.87万
-
财政年份:1996
-
负责人:NISHIDA Goro
-
依托单位:
General study of topology
-
批准号:06302004
-
项目类别:Grant-in-Aid for Co-operative Research (A)
-
资助金额:$12.8万
-
财政年份:1994
-
负责人:NISHIDA Goro
-
依托单位:
海外基金