Study on the spaces of Jacobi diagrams and on the stable cohomology of the IA-automorphism groups of free groups

KAKEN

About this project

Japan Grant Number
JP24K16916
Funding Program
Grants-in-Aid for Scientific Research
Funding organization
Japan Society for the Promotion of Science
Project/Area Number
24K16916
Research Category
Grant-in-Aid for Early-Career Scientists
Allocation Type
  • Multi-year Fund
Review Section / Research Field
  • Basic Section 11020:Geometry-related
Research Institution
  • Kyushu University
Project Period (FY)
2024-04-01 〜 2029-03-31
Project Status
Granted
Budget Amount*help
4,550,000 Yen (Direct Cost: 3,500,000 Yen Indirect Cost: 1,050,000 Yen)

Research Abstract

本研究では，ヤコビ図の空間と，IA-自己同型群の安定有理コホモロジーを，表現論的，圏論的観点から研究することを目的とする．主に，ヤコビ図の空間の自由群の自己同型群上の加群構造の研究，ヤコビ図の空間を係数にもつ自由群の自己同型群のホモロジーの計算，IA-自己同型群の有理コホモロジーの部分代数であるアルバネーゼコホモロジーの決定，圏VICの反対圏上の加群としてのIA-自己同型群の有理コホモロジーの構造の研究を行う．

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