Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
scientific article; zbMATH DE number 1516426 - MaRDI portal

scientific article; zbMATH DE number 1516426

From MaRDI portal
Publication:4509128

zbMath1058.37508MaRDI QIDQ4509128

Maxim Kontsevich

Publication date: 11 October 2000


Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.



Related Items

Parity of the spin structure defined by a quadratic differentialCommensurability in Artin groups of spherical typeSimplicity of Lyapunov spectra: proof of the Zorich-Kontsevich conjectureVolumes and Siegel-Veech constants of \({\mathcal{H}}(2G - 2)\) and Hodge integralsFrom rational billiards to dynamics on moduli spaces\(\mathrm{SL}(2,\mathbb R)\)-invariant probability measures on the moduli spaces of translation surfaces are regularSemisimplicity and rigidity of the Kontsevich-Zorich cocycleVortices on Closed SurfacesHodge and TeichmüllerNewtonian dynamics in the plane corresponding to straight and cyclic motions on the hyperelliptic curve \(\mu^{2}= \nu^{n}-1, n \in \mathbb Z\): ergodicity, isochrony and fractalsSpaces of Abelian Differentials and Hitchin’s Spectral CoversWeak mixing properties of interval exchange transformations and translation flowsCovers of the projective line and the moduli space of quadratic differentialsOn the non-uniform hyperbolicity of the Kontsevich-Zorich cocycle for quadratic differentialsFamilies of K3 surfaces and Lyapunov exponentsQuasimodularity and large genus limits of Siegel-Veech constantsA criterion for the simplicity of the Lyapunov spectrum of square-tiled surfacesCosimplicial monoids and deformation theory of tensor categoriesFramed mapping class groups and the monodromy of strata of abelian differentialsAsymptotic shifting numbers in triangulated categoriesNonvarying sums of Lyapunov exponents of abelian differentials in low genusAffine manifolds and zero Lyapunov exponents in genus 3Siegel-Veech constants for strata of moduli spaces of quadratic differentialsA coding-free simplicity criterion for the Lyapunov exponents of Teichmüller curvesMasur-Veech volumes and intersection theory: the principal strata of quadratic differentials. With an appendix by Gaëtan Borot, Alessandro Giacchetto and Danilo LewanskiNew phenomena in deviation of Birkhoff integrals for locally Hamiltonian flowsDynamics and ``arithmetics of higher genus surface flowsEnergy functions on moduli spaces of flat surfaces with erasing forestSquare-tiled surfaces and rigid curves on moduli spacesModuli spaces of Abelian differentials: the principal boundary, counting problems, and the Siegel-Veech constantsSum of Lyapunov exponents of the Hodge bundle with respect to the Teichmüller geodesic flowHomology of origamis with symmetriesLyapunov exponents of rank 2-variations of Hodge structures and modular embeddingsDeviation of ergodic averages for rational polygonal billiardsEuler characteristics of Teichmüller curves in genus twoSelf affine Delone sets and deviation phenomenaSimplicity of Lyapunov spectra: a sufficient criterionLebesgue spectrum of countable multiplicity for conservative flows on the torusBill Veech's contributions to dynamical systemsMasur-Veech volumes and intersection theory on moduli spaces of abelian differentialsOn the finite blocking propertyTriangulations and volume form on moduli spaces of flat surfacesBilliards and Teichmüller curves on Hilbert modular surfacesTeichmüller curves, triangle groups, and Lyapunov exponentsChamber structure of modular curves \(X_1(N)\)Lyapunov spectrum of ball quotients with applications to commensurability questionsDecay of correlations for the Rauzy-Veech-Zorich induction map on the space of interval exchange transformations and the central limit theorem for the Teichmüller flow on the moduli space of Abelian differentialsParabolic Degrees and Lyapunov Exponents for Hypergeometric Local SystemsLocal rigidity for periodic generalised interval exchange transformationsTeichm\"uller dynamics in the eyes of an algebraic geometerGeometry and dynamics on Riemann and \(K3\) surfacesLong cycles in \(abc\)-permutationsTwisted translation flows and effective weak mixingIntroduction to Teichmüller theory and its applications to dynamics of interval exchange transformations, flows on surfaces and billiardsSobolev regularity of solutions of the cohomological equation