Topological Complexity and A-infinity structure

About this project

Japan Grant Number
JP23K03093
Funding Program
Grants-in-Aid for Scientific Research
Funding organization
Japan Society for the Promotion of Science
Project/Area Number
23K03093
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 〜 2027-03-31
Project Status
Granted
Budget Amount*help
4,680,000 Yen (Direct Cost: 3,600,000 Yen Indirect Cost: 1,080,000 Yen)

Research Abstract

自由ループ空間 L(X) を fibrewise A∞ 空 間として捉える fibreise L-S 理論の立場から spherical space form の TC の決定を目指す. また,将来的には微分空間(diffeological space)のアイデアを適用することで, TCの研究に微分位相幾何学的な観点と手法をもたらしたい. さらに現在のpythonを用いたプログラムのC言語を用いた全面的な刷新に取り組みたいと考えている.

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