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

Gwénaël Massuyeau

doi:10.5802/ambp.294

An introduction to the abelian Reidemeister torsion of three-dimensional manifolds
[Une introduction à la torsion de Reidemeister abélienne des variétés de dimension trois]

Gwénaël Massuyeau ¹

¹ IRMA Université de Strasbourg & CNRS 7 rue René Descartes 67084 Strasbourg France

Annales mathématiques Blaise Pascal, Tome 18 (2011) no. 1, pp. 61-140.

Résumé
Abstract

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.

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.

MR

DOI : 10.5802/ambp.294

Classification : 57M27, 57N10, 57M05, 57M10
Keywords: $3$-manifold, Reidemeister torsion, Alexander polynomial
Mot clés : variété de dimension $3$, torsion de Reidemeister, pôlynome d’Alexander

Affiliations des auteurs :

Gwénaël Massuyeau ¹

¹ IRMA Université de Strasbourg & CNRS 7 rue René Descartes 67084 Strasbourg France

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Gwénaël Massuyeau. An introduction to the abelian Reidemeister torsion of three-dimensional manifolds. Annales mathématiques Blaise Pascal, Tome 18 (2011) no. 1, pp. 61-140. doi : 10.5802/ambp.294. https://ambp.centre-mersenne.org/articles/10.5802/ambp.294/

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