2012 Fiscal Year Final Research Report
Geometrical Study of Mirror Symmetry
| Project/Area Number |
22540061
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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 |
Geometry
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| Research Institution | Hokkaido University |
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Principal Investigator |
JINZENJI Masao 北海道大学, 大学院・理学研究院, 准教授 (20322795)
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| Project Period (FY) |
2010 – 2012
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| Keywords | ミラー写像 / ミラー対称性 / モジュライ空間 / 交点数 / 固定点定理 / 擬写像 |
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| Research Abstract |
We reconstructed the mirror map, which is used in the mirror computation of Gromov-Witten invariants, as a generating function of intersection numbers of the moduli space of quasi maps. With this result, we reinterpreted the mirror computation of Gromov-Witten invariants as a way of computing Gromov-Witten invariants by using the difference of compactification of the moduli space of holomorphic maps. We also used this reconstruction to generalize the mirror computation of open Gromov-Witten invariants to wide class of complex manifolds.
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