Study on Mirror Symmetry and Geometry of Moduli Space
| Project/Area Number |
25400061
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Geometry
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| Research Institution | Hokkaido University |
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Principal Investigator |
Jinzenji Masao 北海道大学, 理学(系)研究科(研究院), 准教授 (20322795)
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| Project Period (FY) |
2013-04-01 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2015: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2014: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Keywords | ミラー定理 / グロモフ-ウィッテン不変量 / 留数積分表示 / 対角的寄与 / 射影空間内の超曲面 / 射影空間の超曲面 / 留数積分 / ミラー対称性 / 対角アノマリー / グロモフ--ウィッテン不変量 / モジュライ空間 / コンパクト化 / ミラー写像 / 擬写像 |
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| Outline of Final Research Achievements |
I invented a recipe to cancel all the diagonal contributions, which are obstacles to represent genus 0 Gromov-Witten invariants of projective hypersurfaces in terms of residue integrals. Using this recipe, I completed residue integral representation of the Gromov-Witten invariants. This result enables me to give a direct and geometrical proof of the mirror theorem of projective hypersurfaces. But it seems to take a little more time to complete
the full paper on this result.
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Report
(4 results)
Research Products
(14 results)
