Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 09/2018, Volume 465, Issue 1, pp. 658 - 672

This paper deals with the p-integrable Teichmüller space and gives an intrinsic characterization of a p-integrable asymptotic affine homeomorphism for p>2....

Quasi-symmetric homeomorphism | Universal Teichmüller space | Quasiconformal mapping | p-integrable Teichmüller space | Besov space | WEIL-PETERSSON | MATHEMATICS, APPLIED | BMO | Universal Teichmuller space | EXTENSION | GRUNSKY OPERATOR | CIRCLE | QUASI-SYMMETRIC HOMEOMORPHISMS | MATHEMATICS | CONTRACTIBILITY | p-integrable Teichmuller space | EQUATION

Quasi-symmetric homeomorphism | Universal Teichmüller space | Quasiconformal mapping | p-integrable Teichmüller space | Besov space | WEIL-PETERSSON | MATHEMATICS, APPLIED | BMO | Universal Teichmuller space | EXTENSION | GRUNSKY OPERATOR | CIRCLE | QUASI-SYMMETRIC HOMEOMORPHISMS | MATHEMATICS | CONTRACTIBILITY | p-integrable Teichmuller space | EQUATION

Journal Article

Science China Mathematics, ISSN 1674-7283, 3/2013, Volume 56, Issue 3, pp. 541 - 551

In this paper, we prove that the Bers projection of the integrable Teichmüller space is holomorphic. By using the Douady-Earle extension, we obtain some...

integrable Teichmüller space | 30F60 | 30C62 | Bers projection | Douady-Earle extension | p -integrable asymptotic affine homeomorphism | Mathematics | Applications of Mathematics | 30F35 | p-integrable asymptotic affine homeomorphism | MATHEMATICS | MATHEMATICS, APPLIED | integrable Teichmuller space | HOMEOMORPHISMS | Series (mathematics) | Projection | Asymptotic properties | Mathematical analysis | China | Astronomy

integrable Teichmüller space | 30F60 | 30C62 | Bers projection | Douady-Earle extension | p -integrable asymptotic affine homeomorphism | Mathematics | Applications of Mathematics | 30F35 | p-integrable asymptotic affine homeomorphism | MATHEMATICS | MATHEMATICS, APPLIED | integrable Teichmuller space | HOMEOMORPHISMS | Series (mathematics) | Projection | Asymptotic properties | Mathematical analysis | China | Astronomy

Journal Article

ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, ISSN 1239-629X, 2019, Volume 44, Issue 1, pp. 15 - 28

This paper deals with the smoothness and strongly pseudoconvexity of p-Weil-Petersson metric. This metric is a complex Finsler metric on the p-integrable...

SPACE | MATHEMATICS | complex Finsler metric | Teichmuller space | p-integrable Teichmuller space | Weil-Petersson metric | BOUNDEDNESS

SPACE | MATHEMATICS | complex Finsler metric | Teichmuller space | p-integrable Teichmuller space | Weil-Petersson metric | BOUNDEDNESS

Journal Article

Filomat, ISSN 0354-5180, 1/2017, Volume 31, Issue 1, pp. 85 - 90

We first remark that the complex dilatation of a quasiconformal homeomorphism of a hyperbolic Riemann surface 𝑅 obtained by the barycentric extension due to...

Riemann surfaces | Infinity | Dilatation | Conformity | Homeomorphism | Teichmüller projection | Complex dilatation | Barycentric extension | Bers embedding | Integrable teichmüller space | Asymptotically conformal | Quasiconformal | MATHEMATICS | MATHEMATICS, APPLIED | integrable Teichmuller space | HOMEOMORPHISMS | quasiconformal | barycentric extension | Teichmuller projection | complex dilatation | asymptotically conformal | TEICHMULLER-SPACES | CIRCLE

Riemann surfaces | Infinity | Dilatation | Conformity | Homeomorphism | Teichmüller projection | Complex dilatation | Barycentric extension | Bers embedding | Integrable teichmüller space | Asymptotically conformal | Quasiconformal | MATHEMATICS | MATHEMATICS, APPLIED | integrable Teichmuller space | HOMEOMORPHISMS | quasiconformal | barycentric extension | Teichmuller projection | complex dilatation | asymptotically conformal | TEICHMULLER-SPACES | CIRCLE

Journal Article

5.
Full Text
Kählerity and Negativity of Weil–Petersson Metric on Square Integrable Teichmüller Space

Journal of Geometric Analysis, ISSN 1050-6926, 07/2017, Volume 27, Issue 3, pp. 1995 - 2017

The Weil-Petersson metric is a Hermitian metric originally defined on finite-dimensional Teichmuller spaces. Ahlfors proved that this metric is a Kahler metric...

Infinite-dimensional Kähler manifolds | Teichmüller spaces | The Weil–Petersson metric | p-Integrable Teichmüller spaces | MATHEMATICS | Teichmuller spaces | Infinite-dimensional Kahler manifolds | The Weil-Petersson metric | BOUNDEDNESS | AUTOMORPHIC-FORMS | p-Integrable Teichmuller spaces

Infinite-dimensional Kähler manifolds | Teichmüller spaces | The Weil–Petersson metric | p-Integrable Teichmüller spaces | MATHEMATICS | Teichmuller spaces | Infinite-dimensional Kahler manifolds | The Weil-Petersson metric | BOUNDEDNESS | AUTOMORPHIC-FORMS | p-Integrable Teichmuller spaces

Journal Article

Chinese Annals of Mathematics, Series B, ISSN 0252-9599, 11/2018, Volume 39, Issue 6, pp. 963 - 972

The authors identify the function space which is the tangent space to the integrable Teichmüller space. By means of quasiconformal deformation and an operator...

Integrable Teichmüller space | Quasiconformal deformation | Universal Teichmüller space | Zygmund function | 30F60 | 30C62 | Mathematics, general | Mathematics | 32G15 | Applications of Mathematics | 30H25 | Besov function | MATHEMATICS | Integrable Teichmuller space | EXTENSIONS | Universal Teichmuller space | MAPPINGS

Integrable Teichmüller space | Quasiconformal deformation | Universal Teichmüller space | Zygmund function | 30F60 | 30C62 | Mathematics, general | Mathematics | 32G15 | Applications of Mathematics | 30H25 | Besov function | MATHEMATICS | Integrable Teichmuller space | EXTENSIONS | Universal Teichmuller space | MAPPINGS

Journal Article

ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, ISSN 1239-629X, 2019, Volume 44, Issue 2, pp. 657 - 679

The Bers embedding of the Teichmuller space is a homeomorphism into the Banach space of certain holomorphic automorphic forms. For a subspace of the universal...

circle diffeomorphism | MATHEMATICS | integrable Teichmuller space | HOMEOMORPHISMS | Schwarzian derivative | asymptotic Teichmuller space | Bers embedding | EXTENSION | quasisymmetric homeomorphism | Asymptotically conformal | CIRCLE

circle diffeomorphism | MATHEMATICS | integrable Teichmuller space | HOMEOMORPHISMS | Schwarzian derivative | asymptotic Teichmuller space | Bers embedding | EXTENSION | quasisymmetric homeomorphism | Asymptotically conformal | CIRCLE

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 02/2018, Volume 51, Issue 5, p. 53002

We discuss a discretization of the quantum Toda field theory associated with a semisimple finite-dimensional Lie algebra or a tamely-laced infinite-dimensional...

quantum chaos | quantum cluster algebra | quantum Y-system | quantum Toda theory | INTEGRABLE MODELS | PHYSICS, MULTIDISCIPLINARY | CLUSTER ALGEBRAS I | VIRASORO ALGEBRA | DIFFERENCE-EQUATIONS | PHYSICS, MATHEMATICAL | LIOUVILLE THEORY | GAUGE-THEORIES | CONFORMAL FIELD-THEORY | THERMODYNAMIC BETHE-ANSATZ | DILOGARITHM IDENTITIES | TEICHMULLER THEORY

quantum chaos | quantum cluster algebra | quantum Y-system | quantum Toda theory | INTEGRABLE MODELS | PHYSICS, MULTIDISCIPLINARY | CLUSTER ALGEBRAS I | VIRASORO ALGEBRA | DIFFERENCE-EQUATIONS | PHYSICS, MATHEMATICAL | LIOUVILLE THEORY | GAUGE-THEORIES | CONFORMAL FIELD-THEORY | THERMODYNAMIC BETHE-ANSATZ | DILOGARITHM IDENTITIES | TEICHMULLER THEORY

Journal Article

Science in China Series A: Mathematics, ISSN 1006-9283, 1/2000, Volume 43, Issue 1, pp. 47 - 58

A new kind of subspaces of the universal Teichmüller space is introduced. Some characterizations of the subspaces are given in terms of univalent functions,...

the universal teichmüller space | subspaces | Mathematics | Applications of Mathematics | integrable teichmüller spaces | Subspaces | The universal Teichmüller space | Integrable Teichmüller spaces | integrable Teichmuller spaces | the universal Teichmuller space | MULTIDISCIPLINARY SCIENCES

the universal teichmüller space | subspaces | Mathematics | Applications of Mathematics | integrable teichmüller spaces | Subspaces | The universal Teichmüller space | Integrable Teichmüller spaces | integrable Teichmuller spaces | the universal Teichmuller space | MULTIDISCIPLINARY SCIENCES

Journal Article

10.
Full Text
Analytical approximation of the exterior gravitational field of rotating neutron stars

Classical and Quantum Gravity, ISSN 0264-9381, 08/2011, Volume 28, Issue 15, pp. 155015 - 18

It is known that Backlund transformations can be used to generate stationary axisymmetric solutions of Einstein's vacuum field equations with any number of...

SYMMETRY | EINSTEIN EQUATIONS | PHYSICS, MULTIDISCIPLINARY | ASTRONOMY & ASTROPHYSICS | ASYMPTOTICALLY FLAT SOLUTIONS | ERNST EQUATION | FORMULATION | STATIONARY | RELATIVITY | PHYSICS, PARTICLES & FIELDS | Neutron stars | Approximation | Mathematical analysis | Exteriors | Exact solutions | Constants | Mathematical models | Quantum gravity | General Relativity and Quantum Cosmology | Physics

SYMMETRY | EINSTEIN EQUATIONS | PHYSICS, MULTIDISCIPLINARY | ASTRONOMY & ASTROPHYSICS | ASYMPTOTICALLY FLAT SOLUTIONS | ERNST EQUATION | FORMULATION | STATIONARY | RELATIVITY | PHYSICS, PARTICLES & FIELDS | Neutron stars | Approximation | Mathematical analysis | Exteriors | Exact solutions | Constants | Mathematical models | Quantum gravity | General Relativity and Quantum Cosmology | Physics

Journal Article

2010, Oxford science publications, ISBN 0199534926, xviii, 434

Few people have proved more influential in the field of differential and algebraic geometry, and in showing how this links with mathematical physics, than...

Geometry, Differential | Mathematical physics | Geometry, Algebraic | Biography & Autobiography | Geometry | Monopole equations | Higgs bundles | Istanton equations | Einstein metrics | Spin geometry | Twister theory | Nigel Hitchin | Integrables systems | Hyperkähler geometry | Symplectic geometry

Geometry, Differential | Mathematical physics | Geometry, Algebraic | Biography & Autobiography | Geometry | Monopole equations | Higgs bundles | Istanton equations | Einstein metrics | Spin geometry | Twister theory | Nigel Hitchin | Integrables systems | Hyperkähler geometry | Symplectic geometry

Book

Communications in Mathematical Physics, ISSN 0010-3616, 11/2014, Volume 331, Issue 3, pp. 1191 - 1235

In this paper we study the Baker–Akhiezer spinor kernel on moduli spaces of meromorphic differentials on Riemann surfaces. We introduce the Baker–Akhiezer...

Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics | BOSONIZATION | PHYSICS, MATHEMATICAL | SINGULARITIES | DETERMINANTS | ABELIAN DIFFERENTIALS | GENUS

Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics | BOSONIZATION | PHYSICS, MATHEMATICAL | SINGULARITIES | DETERMINANTS | ABELIAN DIFFERENTIALS | GENUS

Journal Article

Theoretical and Mathematical Physics, ISSN 0040-5779, 12/2011, Volume 169, Issue 3, pp. 1704 - 1723

We discuss the relation between the Seiberg-Witten prepotentials, Nekrasov functions, and matrix models. On the semiclassical level, we show that the matrix...

Theoretical, Mathematical and Computational Physics | highest-weight module of the Virasoro algebra | matrix model | supersymmetric gauge theory | Applications of Mathematics | two-dimensional conformal field theory | Physics | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | GRAVITY | SUPERSYMMETRIC YANG-MILLS | EXPANSION | CONFINEMENT | COEFFICIENTS | MODULI SPACE | DUALITY | SEIBERG-WITTEN THEORY | INTEGRABLE STRUCTURE | GEOMETRY

Theoretical, Mathematical and Computational Physics | highest-weight module of the Virasoro algebra | matrix model | supersymmetric gauge theory | Applications of Mathematics | two-dimensional conformal field theory | Physics | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | GRAVITY | SUPERSYMMETRIC YANG-MILLS | EXPANSION | CONFINEMENT | COEFFICIENTS | MODULI SPACE | DUALITY | SEIBERG-WITTEN THEORY | INTEGRABLE STRUCTURE | GEOMETRY

Journal Article

JOURNAL OF MODERN DYNAMICS, ISSN 1930-5311, 04/2018, Volume 12, pp. 55 - 122

In this paper we prove results on Birkhoff and Oseledets generic ity along certain curves in the space of affine lattices and in moduli spaces of translation...

MATHEMATICS, APPLIED | Homogeneous dynamics | DEVIATION | FOLIATIONS | THEOREM | Eaton lenses | DIOPHANTINE APPROXIMATION | gap distribution | HOMOGENEOUS SPACES | Oseledets theorem | equidistribution | CONJECTURE | MATHEMATICS | ergodic theorem | translation surfaces | MANIFOLDS | FLOWS | Kontsevich-Zorich cocycle | pseudo-integrable billiards

MATHEMATICS, APPLIED | Homogeneous dynamics | DEVIATION | FOLIATIONS | THEOREM | Eaton lenses | DIOPHANTINE APPROXIMATION | gap distribution | HOMOGENEOUS SPACES | Oseledets theorem | equidistribution | CONJECTURE | MATHEMATICS | ergodic theorem | translation surfaces | MANIFOLDS | FLOWS | Kontsevich-Zorich cocycle | pseudo-integrable billiards

Journal Article

Theoretical and Mathematical Physics, ISSN 0040-5779, 11/2018, Volume 197, Issue 2, pp. 1535 - 1571

We study special “discriminant” circle bundles over two elementary moduli spaces of meromorphic quadratic differentials with real periods denoted by Q 0 ℝ (−7)...

ribbon graph | Boutroux curve | moduli space | Jenkins–Strebel differential | tau function | Theoretical, Mathematical and Computational Physics | quadratic differential | Applications of Mathematics | Physics | COHOMOLOGY | Jenkins-Strebel differential | PHYSICS, MULTIDISCIPLINARY | TAU-FUNCTION | PHYSICS, MATHEMATICAL

ribbon graph | Boutroux curve | moduli space | Jenkins–Strebel differential | tau function | Theoretical, Mathematical and Computational Physics | quadratic differential | Applications of Mathematics | Physics | COHOMOLOGY | Jenkins-Strebel differential | PHYSICS, MULTIDISCIPLINARY | TAU-FUNCTION | PHYSICS, MATHEMATICAL

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 1995, Volume 457, Issue 1, pp. 357 - 374

We formulate the uniformisation problem underlying the geometry of W n -gravity using the differential equation approach to W-algebras. We construct W n -space...

ORIGIN | SYMMETRIES | FIELD-THEORY | RATIONAL COEFFICIENTS | PHYSICS, NUCLEAR | GRAVITY | DEFORMATION | ORDINARY DIFFERENTIAL-EQUATIONS | Physics - High Energy Physics - Theory

ORIGIN | SYMMETRIES | FIELD-THEORY | RATIONAL COEFFICIENTS | PHYSICS, NUCLEAR | GRAVITY | DEFORMATION | ORDINARY DIFFERENTIAL-EQUATIONS | Physics - High Energy Physics - Theory

Journal Article

Theoretical and Mathematical Physics(Russian Federation), ISSN 0040-5779, 05/2017, Volume 191, Issue 2, pp. 692 - 709

We develop the theory of Whitham-type hierarchies integrable by hydrodynamic reductions as a theory of certain differential-geometric objects. As an...

moduli space of Riemann surfaces | Gibbons–Tsarev system | hydrodynamic reduction | integrability of quasilinear systems | Whitham-type hierarchy | PHYSICS, MULTIDISCIPLINARY | Gibbons-Tsarev system | SPACES | EQUATIONS | HYDRODYNAMIC TYPE | PHYSICS, MATHEMATICAL

moduli space of Riemann surfaces | Gibbons–Tsarev system | hydrodynamic reduction | integrability of quasilinear systems | Whitham-type hierarchy | PHYSICS, MULTIDISCIPLINARY | Gibbons-Tsarev system | SPACES | EQUATIONS | HYDRODYNAMIC TYPE | PHYSICS, MATHEMATICAL

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 1999, Volume 554, Issue 1, pp. 103 - 135

The correspondence between Matrix String Theory in the strong coupling limit and IIA superstring theory can be shown by means of the instanton solutions of the...

String interactions | Branched coverings | Matrix string theory | string interactions | branched coverings | INTEGRABLE SYSTEMS | matrix string theory | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

String interactions | Branched coverings | Matrix string theory | string interactions | branched coverings | INTEGRABLE SYSTEMS | matrix string theory | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 6/2012, Volume 2012, Issue 6, pp. 1 - 25

We explore various aspects of the correspondence between dimer models and integrable systems recently introduced by Goncharov and Kenyon. Dimer models give...

Brane Dynamics in Gauge Theories | D-branes | Integrable Equations in Physics | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Integrable equations in physics | Brane dynamics in Gauge theories | DIMENSIONS | GAUGE-THEORIES | TODA LATTICE | PHYSICS, PARTICLES & FIELDS | Operators (mathematics) | Impurities | Production methods | Chains | Dimers | Combinatorial analysis | Relativistic effects

Brane Dynamics in Gauge Theories | D-branes | Integrable Equations in Physics | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Integrable equations in physics | Brane dynamics in Gauge theories | DIMENSIONS | GAUGE-THEORIES | TODA LATTICE | PHYSICS, PARTICLES & FIELDS | Operators (mathematics) | Impurities | Production methods | Chains | Dimers | Combinatorial analysis | Relativistic effects

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 03/2014, Volume 47, Issue 11, pp. 115203 - 14

We construct the R-operator-the solution of the Yang-Baxter equation acting in the tensor product pi(s1) circle times pi(s2) of two infinite-dimensional...

modular double | intertwining operators | YangBaxter equation | CHIRAL POTTS-MODEL | Yang-Baxter equation | MONODROMY MATRICES | SYMMETRY | REPRESENTATIONS | PHYSICS, MULTIDISCIPLINARY | XXZ MODEL | PHYSICS, MATHEMATICAL | LATTICE | QUANTUM GROUP | Permutations | Operators | Construction | Tensors | Mathematical analysis | Modular | Representations

modular double | intertwining operators | YangBaxter equation | CHIRAL POTTS-MODEL | Yang-Baxter equation | MONODROMY MATRICES | SYMMETRY | REPRESENTATIONS | PHYSICS, MULTIDISCIPLINARY | XXZ MODEL | PHYSICS, MATHEMATICAL | LATTICE | QUANTUM GROUP | Permutations | Operators | Construction | Tensors | Mathematical analysis | Modular | Representations

Journal Article

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