| Budget Amount *help |
¥3,838,633 (Direct Cost: ¥2,952,795、Indirect Cost: ¥885,838)
Fiscal Year 2014: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2013: ¥588,633 (Direct Cost: ¥452,795、Indirect Cost: ¥135,838)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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| Outline of Final Research Achievements |
The objectives of the research are the generalization of the notion of Frobenius structure and the formulation of local mirror symmetry. Noticing that the B-model of the local mirror symmetry is described in terms of the mixed Hodge structure whereas that of the mirror symmetry is described in terms of the pure Hodge structure, we generalized the definition of Frobenius structure to the case where the tangent bundle has a filtration and named it the mixed Frobenius structure(MFS). Moreover we constructed a MFS for local A-model. More precisely, for a pair of a nonsingular projective variety and a concave vector bundle, we constructed a MFS by considering the nonequivariant limit of the twisted equivariant quantum cohomology and twisted pairing. These results are obtained in a joint work with Satoshi Minabe.
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