Big mapping class groups acting on homology

Federica Fanoni (1) , Sebastian Hensel , Nicholas G. Vlamis

1 IRMA - Institut de Recherche Mathématique Avancée

We study the action of (big) mapping class groups on the first homology of the corresponding surface. We give a precise characterization of the image of the induced homology representation.

Domaines: Topologie géométrique [math.GT]; Théorie des groupes [math.GR]

Federica Fanoni, Sebastian Hensel, Nicholas G. Vlamis. Big mapping class groups acting on homology. Indiana University Mathematics Journal, In press. ⟨hal-02153773⟩