2013 Fiscal Year Final Research Report
Study on mirror symmetry and noncommutative Hodge structures
| Project/Area Number |
23654009
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Multi-year Fund |
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| Research Field |
Algebra
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| Research Institution | Osaka University |
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Principal Investigator |
TAKAHASHI ATSUSHI 大阪大学, 理学(系)研究科(研究院), 准教授 (50314290)
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| Co-Investigator(Renkei-kenkyūsha) |
IRITANI Hiroshi 京都大学, 理学研究科, 准教授 (20448400)
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| Project Period (FY) |
2011 – 2013
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| Keywords | 代数学 / 幾何学 / 数理物理学 / ミラー対称性 |
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| Research Abstract |
Homological mirror symmetry is a symmetry which interchanges the role of the symplectic geometry and the complex algebraic geometry. The purpose of this research is a trial to solve one of the most important problems in the theory of homological mirror symmetry.
Assuming a certain formality conjecture for a homotopy calculas algebra associated to a Calabi-Yau dg category, we obtain a primitive form and hence a Frobenius structure on the versal deformation space for the category.
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Research Products
(9 results)
