Study of refined gauge theoretic invariants

Research Project

Project/Area Number	25800040
Research Category	Grant-in-Aid for Young Scientists (B)
Allocation Type	Multi-year Fund
Research Field	Geometry
Research Institution	Nagoya University
Principal Investigator	Sasahira Hirofumi 名古屋大学, 多元数理科学研究科, 助教 (30466825)
Project Period (FY)	2013-04-01 – 2016-03-31
Project Status	Completed (Fiscal Year 2015)
Budget Amount *help	¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000) Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000) Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000) Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Keywords	ゲージ理論 / Floer理論 / トポロジー / Seiberg-Witten理論
Outline of Final Research Achievements	I studied the Seiberg-Witten-Floer stable homotopy type for 3-manifolds with positive first Betti number. The Seiberg-Witten-Floer stable homotopy type was originally defined for rational homology 3-spheres. When the construction is extended to more general 3-manifolds, some difficulties appear. I studied about the difficulties with T. Khandhawit (IPMU) and J. Lin (UCLA) and we succeeded in extending the construction of the Seiberg-Witten-Floer stable homotopy type to general 3-manifolds.

Report

(4 results)