Abelian and non-Abelian quotient
| Project/Area Number |
23740039
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Algebra
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| Research Institution | Kagawa National College of Technology |
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Principal Investigator |
SATOU Humitoshi 香川高等専門学校, 一般教育科, 准教授 (20548309)
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| Project Period (FY) |
2011-04-28 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Keywords | 局所化定理 / Gromov-Witten不変量 / tautological環 / Ａｂｅｌ商 / 非Abel商 / アーベル商 / Gromov-Witten普遍量 / Tautological Ring / orbifold cohomology |
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| Outline of Final Research Achievements |
We studied following two things.
One is that we find an explicit relations between orbifold cohomology rings of non-abelian quotient X//G and abelian quotient X//T, where X is a complex manifold with an action by a semi-simple Lie group G and T is its maximal torus. The other one is that we find an algorithm to find two new relation in tautological rings of moduli stack of genus g stable curves by applying Atiyah-Bott localization theorem to a moduli stack of genus g stable maps to a projective line. We also carried out our algorithm to obtain one of two relations in terms of boundary classes explicitly.
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Report
(5 results)
Research Products
(10 results)
