Date | Nov 07, 2014 |
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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, L^{2}-torsion and hyperbolic volume

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