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

Massuyeau, Gwénaël

doi:10.5802/ambp.294

Massuyeau, Gwénaël ¹

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

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

Abstract
Résumé

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.

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.

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

Author's affiliations:

Massuyeau, Gwénaël ¹

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

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

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