| Date | Nov 07, 2014 |
|---|---|
| Speaker | Teruaki Kitano |
| Dept. | Soka University, Japan |
| Room | 129-406 |
| Time | 10:30-12:00 |
(1) Definitions, properties.
- torsion of an acyclic complex
- torsion of a CW-complex
- properties
- classification of lens spaces
(2) Alexander polynomial and twisted Alexander polynomial.
- Milnor's theorem: Alexander polynomial=Reidemeister torsion.
- twisted Alexander polynomials=Reidemeister torsion.
(3) Application of twisted Alexander polynomial
- Criterion for the non-existence of an epimorphism
(4) Reidemesiter torsion of a homology 3-sphere
- Dennis Johnson's theory and its generalization
(5)Ray-Singer torsion, L2-torsion and hyperbolic volume
