Positions and surfaces of a knot
| Project/Area Number |
23540105
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Geometry
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| Research Institution | Komazawa University |
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Principal Investigator |
OZAWA Makoto 駒澤大学, 総合教育研究部, 准教授 (50308160)
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| Project Period (FY) |
2011 – 2013
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| Project Status |
Completed (Fiscal Year 2013)
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| Budget Amount *help |
¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Keywords | 結び目 / ハンドル体 / 橋分解 / トンネル数 / 本質的曲面 / Neuwirth予想 / ザイフェルト曲面 / デーン手術 / 曲面 / 位置 |
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| Research Abstract |
(1) In a joint work with Kazuto Takao, we showed that there exists a 3-bridge knot with 4-bridge destabilized bridge position.
(2) In a joint work with Atsushi Ishii and Kengo Kishimoto, for a handlebody-knot whose exterior is boundary-irreducible, there exists a unique set of 2-decomposing spheres which decompose local 1-handles up to isotopy and annulus-moves. In a joint work with Mario Eudave-Munoz, we characterized tunnel number 1 genus 2 handlebody-knots. In a joint work with Yuya Koda, we gave a classification of essential disks, annuli and tori in the exterior of a genus 2 handlebody-knot.
(3) We showed that uniformly twisted knots satisfy the Neuwirth conjecture.
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Report
(4 results)
Research Products
(63 results)
