A Classification of Minimal Charts
| Project/Area Number |
20540093
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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 | Tokai University |
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Principal Investigator |
SHIMA Akiko Tokai University, 理学部, 准教授 (50317765)
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| Project Period (FY) |
2008 – 2010
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| Project Status |
Completed (Fiscal Year 2010)
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| Budget Amount *help |
¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2008: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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| Keywords | 位相幾何 / surface knot / chart / white vertex / surface braid |
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| Research Abstract |
A chart is an oriented labeled graph on a disk which represents a surface link, i.e. an embedded surface in the 4-dimensional space. This is a remarkable method. We research about a classification of charts with at most three crossings. The main result is as follows : Any minimal chart with at most three crossing is either a ribbon chart, or a disjoint union of a chart representing a 2-twist spun trefoil, hoops and free edges. That is, any minimal chart with at most three crossing is a chart representing a 2-twist spun trefoil modulo ribbon charts.
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Report
(4 results)
Research Products
(19 results)
