2011 Fiscal Year Final Research Report
Foliations on three dimensional manifolds
| Project/Area Number |
21740055
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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 | Nara Women's University |
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Principal Investigator |
MURAI Hiroko 奈良女子大学, 理学部, 助教 (40456843)
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| Project Period (FY) |
2009 – 2011
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| Keywords | 3次元多様体 / Heegaard 分解 / Heegaard 曲面 / 本質的lamination / 結び目 / 葉層構造 |
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| Research Abstract |
We studied intersections of essential laminations and Heegaard surfaces which give strongly irreducible Heegaard splittings in three dimensional manifolds. It is known that such Heegaard surfaces intersect essential surfaces in essential simple closed curves. We gave a similar result when Heegaard genus is two. We also gave some examples which give a phenomenon specific to non-compact objects.
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