VIRTUAL FIBERING IN DIMENSION THREE AND TWISTED ALEXANDER POLYNOMIALS

Jean-Claude Sikorav (1)

1 UMPA-ENSL - Unité de Mathématiques Pures et Appliquées

We prove that for "most" closed 3-dimensional manifolds N , the existence of a closed non singular one-form in a given cohomology class u ∈ H 1 (M, R) is equivalent to the non-vanishing modulo p of all twisted Alexander polynomials associated to finite Galois coverings of N. When u ∈ H 1

Domaines: Topologie géométrique [math.GT]; Théorie des groupes [math.GR]; K-théorie et homologie [math.KT]

Jean-Claude Sikorav. VIRTUAL FIBERING IN DIMENSION THREE AND TWISTED ALEXANDER POLYNOMIALS. 2019. ⟨hal-02353768v1⟩