Function Spaces, Configuration Spaces, Classifying Spaces and Homotopy (Co) limits

• Project/Area Number: 19540095
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Geometry
• Research Institution: University of the Ryukyus
• Principal Investigator: TSUKUDA Shuichi University of the Ryukyus, 理学部, 准教授 (50305182)
• Project Period (FY): 2007 – 2009
• Project Status: Completed (Fiscal Year 2009)
• Budget Amount: ¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000); Fiscal Year 2009: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000); Fiscal Year 2008: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000); Fiscal Year 2007: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
• Keywords: 位相幾何学 / トポロジー / 幾何学

Research Abstract

We determined the stable homotopy type of the configuration space of certain arachnoid mechanisms. We also studied the p local homotopy type of certain gauge groups.

Research Products

• [Journal Article] Notes on the Triviality of Adjoint Bundles, Homotopy Theory of Function Spaces and Related Topics (2010)
  • Author(s): A. Kono, S. Tsukuda
  • Journal Title: Contemporary Mathematics vol519(掲載予定)
  • Peer Reviewed
• [Journal Article] On the homology of configuration space of arachnoid mechanisms (2008)
  • Author(s): Y. Kamiyama, S. Tsukuda
  • Journal Title: Houston Journal of Math vol34 Pages: 483-499
  • Peer Reviewed
• [Journal Article] On the homology of configuration space of arachnoid mechanisms (2008)
  • Author(s): Y. Kamiyama, S. Tsukuda
  • Journal Title: Houston J. of Math. 34 Pages: 483-499
  • Peer Reviewed
• [Journal Article] Samelson products of SO(3)and applications (2007)
  • Author(s): Y. Kamiyama, D. Kishimoto, A. Kono, S. Tsukuda
  • Journal Title: Glasg. Math. J. 49 Pages: 405-409
  • Peer Reviewed
• [Journal Article] The configuration space of the n-arms machine in the Euclidean space (2007)
  • Author(s): Y. Kamiyama, S. Tsukuda
  • Journal Title: Topology Appl. 154 Pages: 1447-1464
  • Peer Reviewed
• [Presentation] On the configuration space of a certain $n$-arms machine in the Euclidean space (2009)
  • Author(s): S. Tsukuda
  • Organizer: MFO Workshop: Homotopy Theory of Function Spaces and Related Topics
  • Place of Presentation: MFO(ドイツ)
• [Presentation] A survey on the homotopy types of gauge groups and their classifying spaces (2009)
  • Author(s): S. Tsukuda
  • Organizer: MFO Workshop: Homotopy Theory of Function Spaces and Related Topics
  • Place of Presentation: MFO(ドイツ)
• [Presentation] On the Configuration Space of a Certain n-arms Machine in the Euclidean Space (2008)
  • Author(s): S. Tsukuda
  • Organizer: 第2回東アジア代数的位相幾何学シンポジウム
  • Place of Presentation: シンガポール大学(シンガポール)