2010 Fiscal Year Final Research Report
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)
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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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| Keywords | 位相幾何 |
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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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