Homotopy theory of coordinate subspace arrangements
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- Daisuke Kishimoto
- Principal Investigator
- 九州大学
About this project
- Japan Grant Number
- JP17K05248
- Funding Program
- Grants-in-Aid for Scientific Research
- Funding organization
- Japan Society for the Promotion of Science
- Project/Area Number
- 17K05248
- Research Category
- Grant-in-Aid for Scientific Research (C)
- Allocation Type
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- Multi-year Fund
- Review Section / Research Field
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- Science and Engineering > Mathematics and Physics > Mathematics > Geometry
- Research Institution
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- Kyushu University
- Kyoto University
- Project Period (FY)
- 2017-04-01 〜 2023-03-31
- Project Status
- Completed
- Budget Amount*help
- 4,290,000 Yen (Direct Cost: 3,300,000 Yen Indirect Cost: 990,000 Yen)
Research Abstract
An abstract simplicial complex is an abstraction of a geometric simplicial complex, and it captures the combinatorial structure of a geometric simplicial complex. A polyhedral product is a space constructed from a pair of spaces in accordance with the combinatorial structure of an abstract simplicial complex. Polyhedral products include moment-angle complex which is a central object in toric topology, and coordinate subspace arrngements and their complements. I elucidated relations between the topology of a polyhedral product and the combinatorial structure of the underlyig simplicial complex by developing the theory of the fat-wedge filtration.
Keywords
Details 詳細情報について
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- CRID
- 1040282256942181504
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- Text Lang
- ja
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- Data Source
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- KAKEN
- IRDB