2012 Fiscal Year Final Research Report
Research on homotopy algebraic models for geometry
| Project/Area Number |
22740033
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Geometry
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| Research Institution | Chiba University |
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Principal Investigator |
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| Project Period (FY) |
2010 – 2012
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| Keywords | 幾何学 / トポロジー / 代数学 / 数理物理 / 素粒子論 |
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| Research Abstract |
We showed that A∞-enhancements of triangulated categories are not unique in general by constructing such an example.
On the other hand, for the homological mirror symmetry between symplectic manifolds and complex manifolds both of which are described by torus fibrations, we constructed noncommutative deformations of the complex manifolds, define deformations of symplectic manifolds as theire mirror partners, and discussed that homological mirror symmectry between these pairs of deformations hold true.
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