| Project/Area Number |
25887030
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| Research Category |
Grant-in-Aid for Research Activity Start-up
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| Allocation Type | Single-year Grants |
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| Research Field |
Geometry
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| Research Institution | Kyoto University |
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Principal Investigator |
ITO Tetsuya 京都大学, 数理解析研究所, 助教 (00710790)
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| Project Period (FY) |
2013-08-30 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
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| Keywords | 三次元多様体 / 接触幾何 / 組みひも群 / オープンブック分解 / ３次元トポロジー |
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| Outline of Final Research Achievements |
A contact 3-manifold is presented by using the mapping class group by using an open book decomposition. By using open book decomposition we develop a method to study contact 3-manifolds in more topological way. As products, we showed that an overtwisted disc can be put in a good position so that it essentially intersects with pages of open books, and obtain a generalization of Jones' conjecture concerning the algebraic linking number and braid indices.
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