Topological recursion in enumerative geometry and random matrices

Topological recursion in enumerative geometry and random matrices

Source :

• Journal of Physics A: Mathematical and Theoretical [ 1751-8113 ] ; 2009.

English descriptors

• KwdEn :
  • Airy curve, Algebraic, Algebraic equation, Analytical functions, Anomaly, Arrowed, Arxiv, Asymptotics, Bergman, Bergman kernel, Bergmann, Bergmann kernel, Bicolored, Bicolored maps, Branch point, Branch points, Brane, Branes, Brownian, Brownian movers, Chern classes, Commun, Compact riemann surface, Conformal, Conjecture, Constraint, Convergent, Correlation function, Correlation functions, Correlators, Critical point, Derivative, Determinantal, Determinantal formulae, Differential equations, Differential form, Dijkgraaf, Discrete surface, Discrete surfaces, Dsz1, Dyson, Eigenvalue, Embedding, Enumeration, Enumerative, Enumerative geometry, Equilibrium density, Exponent, Exponential formula, Eynard, Feynman, Feynman graphs, Formal function, Formal integral, Formal matrix integral, Formal power series, Formal series, Free energies, Free energy, Fundamental domain, Gaussian integral, Genus, Geodesic, Gluing, Gure, Hermitian, High energy phys, Hirota, Holomorphic, Holomorphic anomaly equations, Integrability, Integrable, Integrable systems, Integral, Intersection numbers, Intersection theory, Invariance, Ising, Ising model, Kazakov, Kernel, Kontsevich, Kontsevich integral, L1mm, L2mm, Lchain, Lett, Linear combinations, Lling, Lling fraction, Lling fractions, Local parameter, Loop equation, Loop equations, Loop operator, Mari, Master loop equation, Math, Matrix, Matrix integral, Matrix integrals, Matrix model, Matrix models, Meromorphic, Meromorphic form, Mironov, Mirror symmetry, Modular, Modular invariance, Moduli space, Moduli spaces, Modulus, Morozov, Mover, Nite, Nonperturbative, Nucl, Open string amplitudes, Open string parameters, Orantin, Other hand, Other words, Parametrization, Partition, Partition function, Perimeter, Permutation, Phys, Plancherel, Plancherel measure, Pole structure, Pure gravity, Quadrangle, Quadrangulations, Random matrices, Random matrix, Random matrix theory, Rational function, Rational functions, Real cuts, Recursion, Recursive, Rescaling, Riemann, Riemann matrix, Riemann sphere, Riemann surface, Riemann surfaces, Sato, Sato formula, Simple pole, Simple poles, Singular locus, Singularity, Spacetime, Special case, Spectral, Spectral curve, Spectral curves, Springer, String theory, Submanifold, Symplectic, Symplectic invariance, Symplectic invariants, Symplectic transformation, Symplectically, Symplectically equivalent, Target space, Taylor expansion, Theor, Topical, Topical review, Topological, Topological expansion, Topological string theories, Topological string theory, Topological strings, Topology, Toric, Vafa, Virasoro, Virasoro constraints, Z1mm.
• Teeft :
  • Airy curve, Algebraic, Algebraic equation, Analytical functions, Anomaly, Arrowed, Arxiv, Asymptotics, Bergman, Bergman kernel, Bergmann, Bergmann kernel, Bicolored, Bicolored maps, Branch point, Branch points, Brane, Branes, Brownian, Brownian movers, Chern classes, Commun, Compact riemann surface, Conformal, Conjecture, Constraint, Convergent, Correlation function, Correlation functions, Correlators, Critical point, Derivative, Determinantal, Determinantal formulae, Differential equations, Differential form, Dijkgraaf, Discrete surface, Discrete surfaces, Dsz1, Dyson, Eigenvalue, Embedding, Enumeration, Enumerative, Enumerative geometry, Equilibrium density, Exponent, Exponential formula, Eynard, Feynman, Feynman graphs, Formal function, Formal integral, Formal matrix integral, Formal power series, Formal series, Free energies, Free energy, Fundamental domain, Gaussian integral, Genus, Geodesic, Gluing, Gure, Hermitian, High energy phys, Hirota, Holomorphic, Holomorphic anomaly equations, Integrability, Integrable, Integrable systems, Integral, Intersection numbers, Intersection theory, Invariance, Ising, Ising model, Kazakov, Kernel, Kontsevich, Kontsevich integral, L1mm, L2mm, Lchain, Lett, Linear combinations, Lling, Lling fraction, Lling fractions, Local parameter, Loop equation, Loop equations, Loop operator, Mari, Master loop equation, Math, Matrix, Matrix integral, Matrix integrals, Matrix model, Matrix models, Meromorphic, Meromorphic form, Mironov, Mirror symmetry, Modular, Modular invariance, Moduli space, Moduli spaces, Modulus, Morozov, Mover, Nite, Nonperturbative, Nucl, Open string amplitudes, Open string parameters, Orantin, Other hand, Other words, Parametrization, Partition, Partition function, Perimeter, Permutation, Phys, Plancherel, Plancherel measure, Pole structure, Pure gravity, Quadrangle, Quadrangulations, Random matrices, Random matrix, Random matrix theory, Rational function, Rational functions, Real cuts, Recursion, Recursive, Rescaling, Riemann, Riemann matrix, Riemann sphere, Riemann surface, Riemann surfaces, Sato, Sato formula, Simple pole, Simple poles, Singular locus, Singularity, Spacetime, Special case, Spectral, Spectral curve, Spectral curves, Springer, String theory, Submanifold, Symplectic, Symplectic invariance, Symplectic invariants, Symplectic transformation, Symplectically, Symplectically equivalent, Target space, Taylor expansion, Theor, Topical, Topical review, Topological, Topological expansion, Topological string theories, Topological string theory, Topological strings, Topology, Toric, Vafa, Virasoro, Virasoro constraints, Z1mm.

Abstract

• https://api.istex.fr/document/82131A53FCA610321027F089937F6A02A5344859/fulltext/pdf

Affiliations:

• France, Suisse
• Île-de-France
• Gif-sur-Yvette

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