2016 Fiscal Year Final Research Report
Quantum invariants of knots and representations of knot groups
Project/Area Number |
26400079
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Research Category |
Grant-in-Aid for Scientific Research (C)
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Allocation Type | Multi-year Fund |
Section | 一般 |
Research Field |
Geometry
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Research Institution | Tohoku University |
Principal Investigator |
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Project Period (FY) |
2014-04-01 – 2017-03-31
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Keywords | 体積予想 / Jons多項式 / 結び目 / Chern-Simons不変量 / Reidemeister torsion |
Outline of Final Research Achievements |
In this research I studied mainly on the volume conjecture and its generalization about the colored Jones polynomial of a knot. As a result, I proved a generalization of the volume conjecture, that is, I proved that the asymptotic behavior of the colored Jones polynomial gives the Chern-Simons invariant and the Reidemeister torsion of the knot complement.
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Free Research Field |
結び目理論
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