A combinatorial move on the set of Jenkins-Strebel differentials

Corentin Boissy (1)

1 I2M - Institut de Mathématiques de Marseille

We describe an elementary combinatorial move on the set of quadratic differentials with a horizontal one cylinder decom-position. Computer experiment suggests that the corresponding equivalent classes are in one-to-one correspondence with the con-nected component of the strata.

Mots clés: Abelian differentials; Moduli spaces; Quadratic differentials

Domaines: Topologie géométrique [math.GT]

Corentin Boissy. A combinatorial move on the set of Jenkins-Strebel differentials. 2014. ⟨hal-01097028⟩