, Now, if (X, ?) is cylinder equivalent two the fifth surface, then K M (X) contains the following three vectors

Cylinder deformation in orbit closures of translation surfaces ,

The field of definition of affine invariant submanifolds of the moduli space of abelian differentials ,

Nguyen Rank 2 affine manifolds in genus 3 ,

,

The Rel leaf and Real-Rel ray of the Arnoux-Yoccoz surface in genus 3 ,

Mohammadi Isolation, Equidistribution and orbit closure for the SL 2 (R) action on moduli space ,

Prym Varieties and Teichmüller curves ,

Dynamics of SL2(R) over moduli space in genus two ,

Introduction to the modern theory of dynamical systems ,

A transfer principle: From periods to isoperiodic foliations ,

Connected components of Prym eigenform loci in genus three ,

Non arithmetic affine manifolds in H(2, 2) and H(3, 1) ,

Flat surfaces ,

URL : https://hal.archives-ouvertes.fr/hal-00453397

, Horocycle dynamics: New invariants and eigenform loci in H(1, 1)

Matheus Introduction to Teichmüller theory and its applications to dynamics of interval exchange transformations ,

Symplectic and Isometric SL 2 (R)-invariant subbundles of the Hodge bundle ,

Rank One Orbit Closures in H hyp (g ? 1 ,

Connected components of the moduli space of abelian differentials with prescribed singularities ,

, Full rank affine invariant sumanifolds, p.29

Ergodicity of the absolute period foliation 1. (acdb) ,

, For metrical reason, we have l a is greater than l 2 , and likewise l c greater than l 4 . How ever the pairing requires l 2 = l c

, doeses not have a metric solution since ? a > ? 1 2. (abdc). does not have a metric solution since ? a > ? 1 3. (acbd). does not have a metric solution since ? a > ? 1 4. (acbd). does not have a metric solution since ? a > ? 1 5. (adbc). does not have a metric solution since ? a > ? 1 6. (adcb). does not have a metric solution since ? a > ? 1 7. (bacd). does not have a metric solution since ? b ? ? 2 a = ? 2

Cylinder deformation in orbit closures of translation surfaces ,

The field of definition of affine invariant submanifolds of the moduli space of abelian differentials ,

Nguyen Rank 2 affine manifolds in genus 3 ,

,

The Rel leaf and Real-Rel ray of the Arnoux-Yoccoz surface in genus 3 ,

Mohammadi Isolation, Equidistribution and orbit closure for the SL 2 (R) action on moduli space ,

Prym Varieties and Teichmüller curves ,

Dynamics of SL2(R) over moduli space in genus two ,

Connected components of Prym eigenform loci in genus three ,

Introduction to the modern theory of dynamical systems ,

A transfer principle: From periods to isoperiodic foliations ,

Flat surfaces ,

URL : https://hal.archives-ouvertes.fr/hal-00453397

Veech surfaces and complete periodicity in genus 2 ,

Matheus Introduction to Teichmüller theory and its applications to dynamics of interval exchange transformations ,

Connected components of the moduli space of abelian differentials with prescribed singularities ,

GL + 2 (R)-Orbit Closures in Hyperelliptic Components of Strata ,

Rank One Orbit Closures in H hyp (g ? 1 ,

, Full rank affine invariant sumanifolds

Isoperiodic dynamics and Prym eigenforms loci ,

Teichmüller curves in genus 2: Square tiled surfaces and modular curves 29 ,

, Square tiled surfaces in H

Mukamel & A. Wright Billiards, quadrilaterals and moduli spaces ,

Möller Completetely periodic directions and orbit closures of many pseudo-Anosov ,

Symplectic and Isometric SL 2 (R)-invariant subbundles of the Hodge bundle ,

, Rank one orbit closures in H hyp (g ? 1, g ? 1), 2017.

A transfer principle: from periods to isoperiodic foliations, 2015. ,

New infinite families of pseudoanosov maps with vanishing sah-arnoux-fathi invariant, 2016. ,

Isolation, equidistribution, and orbit closures for the SL 2 (R action on moduli space, Annals of Mathematics, pp.673-721, 2015. ,

A primer on mapping class groups, 2011. ,

Introduction to teichmüller theory and its applications to dynamics of interval exchange transformations, flows on surfaces and billiards, 2013. ,

Ergodicity of the absolute period foliation, Israel Journal of Mathematics, vol.225, pp.661-680, 2018. ,

Completely periodic directions and orbit closures of many pseudo-anosov teichmueller discs in Q(1, 1, 1, 1), Mathematische Annalen, vol.353, issue.1, pp.1-35, 2012. ,

URL : https://hal.archives-ouvertes.fr/hal-01230588

Rel leaves of the arnoux-yoccoz surfaces, Selecta Mathematica, pp.1-60, 2015. ,

Interval exchange transformations and measured foliations, Annals of Mathematics, vol.115, issue.1, pp.169-200, 1982. ,

Dynamics of SL 2 (R) over moduli space in genus two, Annals of mathematics, vol.165, issue.2, pp.397-456, 2007. ,

Prym varieties and teichmüller curves. Duke mathematical journal, vol.133, pp.569-590, 2007. ,

Moduli spaces of isoperiodic forms on riemann surfaces, Duke Mathematical Journal, vol.163, issue.12, pp.2271-2323, 2014. ,

Cubic curves and totally geodesic subvarieties of moduli space, Annals of Mathematics, vol.185, issue.3, pp.957-990, 2017. ,

Lifts of pseudo-anosov homeomorphisms of nonorientable surfaces have vanishing saf invariant, 2016. ,

Gauss measures for transformations on the space of interval exchange maps, The Annals of Mathematics, vol.114, issue.2, pp.201-242, 1982. ,

The field of definition of affine invariant submanifolds of the moduli space of abelian differentials, Geometry & Topology, vol.18, issue.3, pp.1323-1341, 2014. ,

Cylinder deformations in orbit closures of translation surfaces, Geometry & Topology, vol.19, issue.1, pp.413-438, 2015. ,

Flat surfaces. Frontiers in number theory, physics, and geometry I, pp.439-585, 2006. ,

URL : https://hal.archives-ouvertes.fr/hal-00453397