| Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2020: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2019: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2018: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2017: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Outline of Final Research Achievements |
In this research project, I have studied the Hpdge-theoretic invariants arising from a family of stable infinity-categorties. I would like to summerize the resluts which I obtained. Let us conisder the Hochschild pair. I gave a conceptual and simple constructuon of the algberaic structure on the Hochschild pair associated to a stable infinity-category. Moreover, I discovered the moduli-theoretic interpretation of this algebraic structure on the Hochschild pair.
I have constructed D-module structure on the periodic cyclic homology arising from a family of stable infinity-categories. I discovered two methods.
The first method is an application of the Hochshicla pair. The second method is to use the canonical extension of factorization homology.
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