| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2020: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2019: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2018: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2017: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Outline of Final Research Achievements |
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.
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