2011 Fiscal Year Final Research Report
Exceptional surgeries of 3-manifolds and strange 4-manifolds
| Project/Area Number |
21540072
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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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 Electro-Communications |
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Principal Investigator |
YAMADA Yuichi 電気通信大学, 大学院・情報理工学研究科, 教授 (30303019)
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| Co-Investigator(Kenkyū-buntansha) |
HIROSE Susumu 東京理科大学, 理工学部, 准教授 (10264144)
YAMAGUCHI Kohhei 電気通信大学, 大学院・情報理工学研究科, 教授 (00175655)
OHNO Masahiro 電気通信大学, 大学院・情報理工学研究科, 准教授 (70277820)
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| Project Period (FY) |
2009 – 2011
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| Keywords | 3次元多様体 / 4次元多様体 / レンズ空間 / デーン手術 / 枠付き絡み目 / カービー計算 / 平面曲線 |
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| Research Abstract |
Phenomenon that a Dehn surgery along a(hyperbolic) knot in the 3-sphere yields alensspace is called "lens space surgery" and is a subject in low-dimensional topology. Concerned with a question "Can we construct strange 4-manifolds by lens space surgeries?", I wrote two papers as jointworks : Torsion invariants related to lens space surgery. Pairs of distinct knots yielding same lens spaces.
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