| Budget Amount *help |
¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2015: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
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| Outline of Final Research Achievements |
We studied moduli spaces of Riemann surfaces with marked points, with a particular emphasis on their cohomology rings. The symmetric groups act on these spaces via permutation of marked points. We determined the character of the cohomology as a representation of the symmetric groups in the genus zero case. We also studied some related moduli spaces of weighted stable curves, called Losev-Manin space and its genus one analogue. In addition to these, we made a study on the mixed Frobenius structure and local quantum cohomology.
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