Kähler geometry of the infinite-dimensional homogeneous space \(M=Diff_+(S^ 1)/Rot(S^ 1)\)

From MaRDI portal
Publication:1119938

DOI10.1007/BF01077802zbMath0671.58007OpenAlexW4248013290WikidataQ105488864 ScholiaQ105488864MaRDI QIDQ1119938

Alexandre Kirillov, Denis S. Juriev

Publication date: 1987

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01077802




Related Items

A Poisson-Lie structure on the diffeomorphism group of a circleEuler-Arnold equations and Teichmüller theoryRiemannian geometry of \(\text{Diff}(S^{1})/S^{1}\)The group of diffeomorphisms of the circle: reproducing kernels and analogs of spherical functionsSub-Riemannian geometry of the coefficients of univalent functionsGeometric investigations of a vorticity model equationWeil-Petersson Teichmüller space revisitedA survey of scattering theory on Riemann surfaces with applications in global analysis and geometryConformal loop ensembles and the stress-energy tensorRepresentations of the Virasoro algebra by the orbit methodOn two geometric problems arising in mathematical physicsPolynomial Lemniscates and Their Fingerprints: From Geometry to TopologyThe Virasoro group and Lorentzian surfaces: The hyperboloid of one sheetIntegrating evolution equations using Fredholm determinantsQuasiconformal Teichmüller theory as an analytical foundation for two-dimensional conformal field theoryWeil-Petersson Teichmüller space. III: Dependence of Riemann mappings for Weil-Petersson curvesIn search of infinite-dimensional Kähler geometryBers isomorphism on the universal Teichmüller curveOn the action of Virasoro algebra on the space of univalent functionsWhite noise analysis and class II subgroups of the infinite dimensional rotation groupWeil-Petersson Teichmüller space. II: Smoothness of flow curves of \(H^{\frac{3}{2}} \)-vector fieldsTowards a Lie theory of locally convex groupsRotation number, geometrical structures on a circle and Bott-Virasoro groupCoherent states on the m-sheeted covering group of SU(1,1)A symplectic functional analytic proof of the conformal welding theoremThe Velling-Kirillov metric of the universal Teichmüller curveUniversal Teichmüller space in geometry and physicsClassical and quantum Teichmüller spacesOn the univalency of regular functionsSub-Riemannian geometry on infinite-dimensional manifoldsEvolution of conformal maps with quasiconformal extensions



Cites Work