2012 Fiscal Year Final Research Report
3-manifold invariants as viewed from triangulations
| Project/Area Number |
21740045
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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 | Tohoku University |
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Principal Investigator |
KODA Yuya 東北大学, 大学院・理学研究科, 助教 (20525167)
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| Project Period (FY) |
2009 – 2012
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| Keywords | 3次元多様体 / 四面体分割 / 絡み目 / 量子不変量 |
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| Research Abstract |
Using triangulations equipped with certain additional structures, we obtained formulae for the Reidemeister-Turaev torsion of standard Spin-c structures for Seifert fibered3-manfolds and colored Turaev-Viro invariants for twist knots in the 3-spheres and torus knots in lens spaces. Moreover, we gave an upper bounds of the complexities for the twist knots in lens spaces and described the hyperbolic structures of their strongly cyclic branched covering spaces.
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