Period integrals, derived categories, and geometries of Moduli spaces
| Project/Area Number |
18540014
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Algebra
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| Research Institution | The University of Tokyo |
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Principal Investigator |
HOSONO Shinobu The University of Tokyo, 大学院・数理科学研究科, 准教授 (60212198)
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| Project Period (FY) |
2006 – 2009
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| Project Status |
Completed (Fiscal Year 2009)
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| Budget Amount *help |
¥4,280,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥780,000)
Fiscal Year 2009: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2008: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2007: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2006: ¥900,000 (Direct Cost: ¥900,000)
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| Keywords | カラビ・ヤウ多様体 / ミラー対称性 / グロモフ・ウイッテン不変量 / 超幾何微分方程式 / トーリック多様体 / 弦理論 / グロモフ・ウィッテン不変量 / 周期積分 / モジュラー形式 / ミラー多様体 / ストークス行列 |
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| Research Abstract |
Manifolds are mathematical objects which generalize curves in a plane, surfaces in a space, etc. In modern physics, manifolds are used as a mathematical model of the universe. Over the last two decades, Calabi-Yau manifolds have been attracting attentions of both physicists and mathematicians. In this research, a detailed mathematical study has been done on some geometric invariants, called Gromov-Witten invariants, of Calabi-Yau manifolds. In particular mathematical structures in a certain recursive equation for computing the invariants have been revealed.
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Report
(6 results)
Research Products
(16 results)
