Explicit Jenkins-Strebel representatives of all strata of Abelian and quadratic differentials

DOI10.3934/jmd.2008.2.139zbMath1149.30033arXiv1011.0395OpenAlexW2963541033MaRDI QIDQ928472

Anton Zorich

Publication date: 18 June 2008

Published in: Journal of Modern Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.0395

zbMATH Keywords

spin structureTeichmüller geodesic flowmoduli space of quadratic differentialsJenkins-Strebel differentialsinterval-exchange transformationRauzy class

Mathematics Subject Classification ID

Teichmüller theory for Riemann surfaces (30F60) Dynamical systems involving maps of the interval (37E05) Differentials on Riemann surfaces (30F30) Flows on surfaces (37E35)

Related Items (14)

L-cut splitting of translation surfaces and non-embedding of pseudo-Anosovs (in genus two) ⋮ Statistics of Square-Tiled Surfaces: Symmetry and Short Loops ⋮ A combinatorial proof of the Kontsevich-Zorich-Boissy classification of Rauzy classes ⋮ Framed mapping class groups and the monodromy of strata of abelian differentials ⋮ Cardinality of Rauzy classes ⋮ A generalization of the self-dual induction to every interval exchange transformation ⋮ Classification of Rauzy-Veech groups: proof of the Zorich conjecture ⋮ SELF-INVERSES, LAGRANGIAN PERMUTATIONS AND MINIMAL INTERVAL EXCHANGE TRANSFORMATIONS WITH MANY ERGODIC MEASURES ⋮ On Sarnak's conjecture and Veech's question for interval exchanges ⋮ Ideal Whitehead graphs in Out(Fr) III: Achieved graphs in rank 3 ⋮ Connected components of the strata of quadratic differentials over the Teichmüller space ⋮ ENUMERATION OF MEANDERS AND MASUR–VEECH VOLUMES ⋮ Single-cylinder square-tiled surfaces and the ubiquity of ratio-optimising pseudo-Anosovs ⋮ Ideal Whitehead graphs in \(\mathrm{Out}(F_r)\). II: The complete graph in each rank

This page was built for publication: Explicit Jenkins-Strebel representatives of all strata of Abelian and quadratic differentials