An introduction to the abelian Reidemeister torsion of three-dimensional manifolds
Annales mathématiques Blaise Pascal, Volume 18 (2011) no. 1, pp. 61-140.

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
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, Volume 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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