Equivariant invariants of knots and 3-manifolds
| Project/Area Number |
21540077
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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 | Kyoto University |
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Principal Investigator |
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| Co-Investigator(Renkei-kenkyūsha) |
HABIRO Kazuo 京都大学, 数理解析研究所, 准教授 (80346064)
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| Project Period (FY) |
2009 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2009: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Keywords | 結び目 / 3 次元多様体 / 不変量 / ３次元多様体 / 3次元多様体 |
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| Research Abstract |
The author has studied invariants of knots and 3-manifolds.The author showed that the perturbative invariant is derived from the LMO invariant in the case of any simple Lie algebra in a joint work with Takahito Kuriya and Thang T. Q. Le. The author calculated the asymptoric expansion of the Kashaev invariant of some simple knots, and verified that the volume conjecture holds for these knots.
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Report
(4 results)
Research Products
(43 results)
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[Presentation]2010
Author(s)
葉廣和夫
Organizer
底タングルの圏と量子不変量について大談話会
Place of Presentation
京都大学数理解析研究所
Year and Date
2010-05-26
Related Report
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