Moduli theory and Hall algebra
| Project/Area Number |
22840023
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| Research Category |
Grant-in-Aid for Research Activity Start-up
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| Allocation Type | Single-year Grants |
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| Research Field |
Algebra
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| Research Institution | Nagoya University |
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Principal Investigator |
NAGAO Kentaro 名古屋大学, 多元数理科学研究科, 助教 (10585574)
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| Project Period (FY) |
2010 – 2011
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| Project Status |
Completed (Fiscal Year 2011)
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| Budget Amount *help |
¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2011: ¥1,495,000 (Direct Cost: ¥1,150,000、Indirect Cost: ¥345,000)
Fiscal Year 2010: ¥1,625,000 (Direct Cost: ¥1,250,000、Indirect Cost: ¥375,000)
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| Keywords | ドナルドソン・トーマス理論 / 壁越え / 団代数 / Donaldson-Thomas理論 / 双曲幾何 / モチーフ的DT理論 |
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| Research Abstract |
We provide a proof of wall-crossing formula for motivic Donaldson-Thomas theory with its application to computations of generating functions. We also study Donaldson-Thomas theory and cluster algebras associated to punctured surfaces, in particular from the view point of mapping class group action.
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Report
(3 results)
Research Products
(30 results)
