Geodesic
The Alexander polynomial of a three-dimensional manifold
Sbornik. Mathematics, Tome 26 (1975) no. 3, pp. 313-329 
V. G. Turaev. The Alexander polynomial of a three-dimensional manifold. Sbornik. Mathematics, Tome 26 (1975) no. 3, pp. 313-329. http://geodesic.mathdoc.fr/item/SM_1975_26_3_a1/
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     title = {The {Alexander} polynomial of~a~three-dimensional manifold},
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper a relationship is established between the Alexander polynomial of the fundamental group of a compact three-dimensional manifold on the one hand and the Reidemeister torsion on the other. For manifolds with the homology of a circle and for complements of links in $S^3$ this relationship is well known (Milnor). Bibliography: 9 titles.

[1] R. C. Blanchfield, “Intersection theory of manifolds with operators with applications to knot theory”, Ann. Math., 65 (1957), 340–356 | DOI | MR | Zbl

[2] R. H. Fox, J. W. Milnor, “Singularities of 2-spheres in 4-space and cobordism of knots”, Osaka J. Math., 3 (1966), 257–267 | MR | Zbl

[3] R. Krouell, R. Foks, Vvedenie v teoriyu uzlov, izd-vo «Mir», Moskva, 1967 | MR

[4] J. Milnor, “A duality theorem for Reidemeister torsion”, Ann. Math., 76 (1962), 137–147 | DOI | MR | Zbl

[5] Dzh. Milnor, “Kruchenie Uaitkheda”, Matematika, 11:1 (1967), 3–42 | MR

[6] K. Murasugi, “On a certain numerical invariant of link types”, Trans. Amer. Math. Soc., 117 (1965), 387–422 | DOI | MR | Zbl

[7] H. Seifert, “Über das Geschlecht von Knoten”, Math. Ann., 110 (1934), 571–592 | DOI | MR

[8] G. Torres, “On the Alexander polynomial”, Ann. Math., 57 (1953), 57–89 | DOI | MR | Zbl

[9] J. H. C. Whitehead, “Simple homotopy types”, Amer. J. Math., 72 (1950), 1–57 | DOI | MR | Zbl