3-manifold invariants as viewed from triangulations
Project/Area Number |
21740045
|
Research Category |
Grant-in-Aid for Young Scientists (B)
|
Allocation Type | Single-year Grants |
Research Field |
Geometry
|
Research Institution | Tohoku University |
Principal Investigator |
KODA Yuya 東北大学, 大学院・理学研究科, 助教 (20525167)
|
Project Period (FY) |
2009 – 2012
|
Project Status |
Completed (Fiscal Year 2012)
|
Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
|
Keywords | 3次元多様体 / 四面体分割 / 絡み目 / 量子不変量 / 結び目 / 不変量 / ハンドル体 / グラフ / 写像類群 / Heegaard 分解 / 空間グラフ / 位相的場の理論 |
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.
|
Report
(5 results)
Research Products
(50 results)
-
-
-
-
[Journal Article] Links and spines2012
Author(s)
Yuya Koda
-
Journal Title
Journal of Knot Theory and its Ramifications 21
Volume: [27]
Issue: 03
Pages: 1250027-1250027
DOI
Related Report
Peer Reviewed
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-