2010 Fiscal Year Final Research Report
Finite surgeries on pretzel knots
| Project/Area Number |
20740039
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Geometry
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| Research Institution | Nihon University (2010)
Nara University of Education (2008-2009) |
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Principal Investigator |
ICHIHARA Kazuhiro Nara University of Education, 文理学部, 准教授 (00388357)
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| Project Period (FY) |
2008 – 2010
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| Keywords | 位相幾何 / 3次元多様体論 |
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| Research Abstract |
Toward the characterization of the finite surgery (i.e., Dehn surgery producing 3-manifolds with finite fundamental groups) on the knots in the 3-sphere, as a first step, we gave a complete classification of finite surgeries on Montesinos knots. Related to the main subject, also studied were Dehn surgeries yielding Seifert fibered manifolds, called Seifert surgeries, and topological properties of Montesinos knots, called boundary slope diameters and crosscap numbers.
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