Study on geometry of knots and three manifolds by using representation theory of quantum groups
Project/Area Number |
19540230
|
Research Category |
Grant-in-Aid for Scientific Research (C)
|
Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
Global analysis
|
Research Institution | Waseda University |
Principal Investigator |
MURAKAMI Jun Waseda University, 理工学術院, 教授 (90157751)
|
Project Period (FY) |
2007 – 2009
|
Project Status |
Completed (Fiscal Year 2009)
|
Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2009: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2008: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2007: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
|
Keywords | 量子群 / 結び目 / 3次元多様体 / 表現論 / TQFT / 結び目理論 / 組紐群 |
Research Abstract |
The volume conjecture for the quantum invariants of knots is studied from the view point of the colored Alexander invariant, and the logarithmic invariants and SL (2, C) quantum 6j symbols are constructed. The relation between these and the hyperbolic volume is given.
|
Report
(4 results)
Research Products
(35 results)