Computations and applications of Seiberg-Witten Floer stable homotopy type

About this project

Japan Grant Number
JP23K03115
Funding Program
Grants-in-Aid for Scientific Research
Funding organization
Japan Society for the Promotion of Science
Project/Area Number
23K03115
Research Category
Grant-in-Aid for Scientific Research (C)
Allocation Type
  • Multi-year Fund
Review Section / Research Field
  • Basic Section 11020:Geometry-related
Research Institution
  • Kyushu University
Project Period (FY)
2023-04-01 〜 2028-03-31
Project Status
Granted
Budget Amount*help
4,940,000 Yen (Direct Cost: 3,800,000 Yen Indirect Cost: 1,140,000 Yen)

Research Abstract

Seiberg-Witten Floer安定ホモトピー型という3次元多様体の不変量の計算手法を開発し、低次元トポロジーや結び目理論への応用を行う予定である。応用として、境界付き4次元多様体のトポロジーへの応用や、Seiberg-Witten Floer安定ホモトピー型と結目理論の不変量であるKhovanovホモトピーとの関連を研究していく予定である。

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