An introduction to the abelian Reidemeister torsion of three-dimensional manifolds

[Une introduction à la torsion de Reidemeister abélienne des variétés de dimension trois]

Massuyeau, Gwénaël

Annales mathématiques Blaise Pascal, Tome 18 (2011), p. 61-140 / Harvested from Numdam

Résumé

Ces notes accompagnent un mini-cours donné à l’école d’automne “Tresses in Pau” en Octobre 2009. Nous introduisons la torsion de Reidemeister des variétés de dimension $3$ et ses raffinements par Turaev. Nous survolons quelques applications, et notamment les relations qu’entretient la torsion de Reidemeister avec d’autres invariants classiques.

Abstract

These notes accompany some lectures given at the autumn school “Tresses in Pau” in October 2009. The abelian Reidemeister torsion for $3$-manifolds, and its refinements by Turaev, are introduced. Some applications, including relations between the Reidemeister torsion and other classical invariants, are surveyed.

Détail

Publié le : 2011-01-01

MR 2830089 | Zbl pre05903954

DOI : https://doi.org/10.5802/ambp.294
Classification:  57M27,  57N10,  57M05,  57M10
Mots clés: variété de dimension $3$, torsion de Reidemeister,pôlynome d’Alexander

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