Finite surgeries on pretzel knots
Project/Area Number |
20740039
|
Research Category |
Grant-in-Aid for Young Scientists (B)
|
Allocation Type | Single-year Grants |
Research Field |
Geometry
|
Research Institution | Nihon University (2010) Nara University of Education (2008-2009) |
Principal Investigator |
ICHIHARA Kazuhiro Nara University of Education, 文理学部, 准教授 (00388357)
|
Project Period (FY) |
2008 – 2010
|
Project Status |
Completed (Fiscal Year 2010)
|
Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2009: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2008: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
|
Keywords | 位相幾何 / 3次元多様体論 / 位相幾何学 |
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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Report
(4 results)
Research Products
(42 results)