Braid groups, iterated integrals and geometric structures of configuration spaces
| Project/Area Number |
20340010
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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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 | The University of Tokyo |
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Principal Investigator |
KOHNO Toshitake The University of Tokyo, 大学院・数理科学研究科, 教授 (80144111)
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| Co-Investigator(Kenkyū-buntansha) |
寺杣 友秀 東京大学, 大学院・数理科学研究科, 教授 (50192654)
森田 茂之 東京大学, 大学院・数理科学研究科, 教授 (70011674)
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| Co-Investigator(Renkei-kenkyūsha) |
寺尾 宏明 北海道大学, 大学院・理科学研究院, 教授 (90119058)
斎藤 恭司 東京大学, 数物連携宇宙研究機構, 主任研究員 (20012445)
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| Project Period (FY) |
2008 – 2010
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| Project Status |
Completed (Fiscal Year 2010)
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| Budget Amount *help |
¥18,070,000 (Direct Cost: ¥13,900,000、Indirect Cost: ¥4,170,000)
Fiscal Year 2010: ¥5,720,000 (Direct Cost: ¥4,400,000、Indirect Cost: ¥1,320,000)
Fiscal Year 2009: ¥5,720,000 (Direct Cost: ¥4,400,000、Indirect Cost: ¥1,320,000)
Fiscal Year 2008: ¥6,630,000 (Direct Cost: ¥5,100,000、Indirect Cost: ¥1,530,000)
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| Keywords | 位相幾何 / 組みひも群 / 写像類群 / 反復積分 / 配置空間 / ループ空間 / 共形場理論 / モース理論 / 共同形場理論 / ドーラム理論 / 有限不変量 |
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| Research Abstract |
We determined the structure of the image of the monodromy representations of mapping class groups in conformal field theory. We proved that the Novikov cohomology for the complement of a hyperplane arrangement vanishes except in the middle dimension for a large class of abelian representations of the fundamental group.
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Report
(4 results)
Research Products
(31 results)
