| Project/Area Number |
25887039
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| Research Category |
Grant-in-Aid for Research Activity Start-up
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| Allocation Type | Single-year Grants |
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| Research Field |
Geometry
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| Research Institution | Nara Women's University |
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Principal Investigator |
JANG Yeonhee 奈良女子大学, 自然科学系, 助教 (90708348)
|
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| Project Period (FY) |
2013-08-30 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Keywords | へガード分解 / 絡み目の橋分解 / ヘンペル距離 |
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| Outline of Final Research Achievements |
We proved that, for any integer n greater than 1, there exist Heegaard splittings of 3-manifolds and bridge splittings of links whose Hempel distance is exactly n. Moreover, we showed the existence of Heegaard splittings for which there is a unique pair of disks realizing the distance. Also, we focused on the fact that relationship between bridge splittings of a knot can be described by a graph, and showed that a new type of graph can describe such relationship of a certain knot, which is an interesting example admitting bridge splittings that are locally minimal but not globally minimal.
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