Intersection theory on the moduli space of curves and the matrix airy function

Kontsevich, Maxim·1992·Communications in Mathematical Physics

Cited by (1,000)

Items 401–500 of 1,000

  1. Sato's Bäcklund transformations, additional symmetries and ASvM formula for the discrete KP hierarchy
    Shaowei Liu, Yi Cheng · 2010 · Journal of Physics A Mathematical and Theoretical
  2. Tau function of the CKP hierarchy and nonlinearizable virasoro symmetries
    Liang Chang, Chao-Zhong Wu · 2013 · Nonlinearity
  3. Lambert-W Solves the Noncommutative $$\varPhi ^4$$-Model
    Erik Panzer, Raimar Wulkenhaar · 2019 · Communications in Mathematical Physics
  4. Simple Lie Algebras, Drinfeld–Sokolov Hierarchies, and Multi-Point Correlation Functions
    Marco Bertola, Boris Dubrovin, Di Yang · 2021 · Moscow Mathematical Journal
  5. Algebraic and Geometric Aspects of Integrable Systems and Random Matrices
    Anton Dzhamay, Maruno, Kenichi, Virgil U. Pierce · 2013 · Contemporary mathematics - American Mathematical Society
  6. Subdivisional Spaces and Graph Braid Groups
    Gabriel C. Drummond-Cole, Ben Knudsen, Byung Hee An · 2019 · Documenta Mathematica
  7. Masur–Veech volumes and intersection theory: The principal strata of quadratic differentials
    Dawei Chen, Martin Möller, Adrien Sauvaget · 2023 · Duke Mathematical Journal
  8. Equations of the moduli of pointed curves in the infinite Grassmannian
    José M. Muñoz Porras, Francisco J. Plaza Martín · 1999 · Journal of Differential Geometry
  9. Matrix Models and Geometry of Moduli Spaces
    Leonid Olegovich Chekhov · 1995 · arXiv (Cornell University)
  10. Two-dimensional gravity in genus one in matrix models, topological and liouville approaches
    A. A. Belavin, G. M. Tarnopolsky · 2010 · Journal of Experimental and Theoretical Physics Letters
  11. Fleurs, arbres et cellules: un invariant galoisien pour une famille d'arbres
    Leonardo Zapponi · 2000 · Compositio Mathematica
  12. Integrable viscous conservation laws
    Alessandro Arsie, Paolo Lorenzoni, Antonio Moro · 2015 · Nonlinearity
  13. Cyclic symmetries of An -quiver representations
    David Nadler · 2014 · Advances in Mathematics
  14. Non-orientable branched coverings, b-Hurwitz numbers, and positivity for multiparametric Jack expansions
    Guillaume Chapuy, Maciej Dołęga · 2022 · Advances in Mathematics
  15. JT supergravity and Brezin-Gross-Witten tau-function
    Kazumi Okuyama, Kazuhiro Sakai · 2020 · Journal of High Energy Physics
  16. Gromov-Witten invariants of hypersurfaces
    Andreas Gathmann · 2010
  17. Hyperpolygon spaces and moduli spaces of parabolic Higgs bundles
    Leonor Godinho, Alessia Mandini · 2013 · Advances in Mathematics
  18. Compactified Picard stacks over the moduli stack of stable curves with marked points
    Margarida Melo · 2010 · Advances in Mathematics
  19. The local Gromov-Witten invariants of configurations of rational curves
    Dagan Karp · 2009 · CERN Document Server (European Organization for Nuclear Research)
  20. Crepant resolution conjecture in all genera for type A singularities
    Jian Zhou · 2008 · arXiv (Cornell University)
  21. Monotone Hurwitz numbers and the HCIZ integral II
    I. P. Goulden, Mathieu Guay-Paquet, Jonathan Novak · 2011 · arXiv (Cornell University)
  22. Knot Invariants from Topological Recursion on Augmentation Varieties
    Jie Gu, Hans Jockers, Albrecht Klemm, Masoud Soroush · 2014 · Communications in Mathematical Physics
  23. Quantum curves and conformal field theory
    Masahide Manabe, Piotr Sułkowski · 2017 · Physical review. D/Physical review. D.
  24. Refined open intersection numbers and the Kontsevich-Penner matrix model
    A. Alexandrov, Alexandr Buryak, Ran J. Tessler · 2017 · Journal of High Energy Physics
  25. Bihamiltonian Cohomologies and Integrable Hierarchies II: The Tau Structures
    Boris Dubrovin, Si-Qi Liu, Youjin Zhang · 2018 · Communications in Mathematical Physics
  26. Topological recursion for symplectic volumes of moduli spaces of curves
    Julia Bennett, David Cochran, Brad Safnuk, Kaitlin Woskoff · 2012 · The Michigan Mathematical Journal
  27. Intersection numbers of Riemann surfaces from Gaussian matrix models
    E. Brézin, S. Hikami · 2007 · Journal of High Energy Physics
  28. Homological infiniteness of Torelli groups
    Toshiyuki Akita · 2001 · Topology
  29. ASYMPTOTIC ANALYSIS OF A HERMITIAN MATRIX INTEGRAL
    Motohico Mulase · 1995 · International Journal of Mathematics
  30. Lectures on the Asymptotic Expansion of a Hermitian Matrix Integral
    Motohico Mulase · 1998
  31. Notes on the algebraic curves in (p,q) minimal string theory
    Masafumi Fukuma, Hirotaka Irie, Yoshinori Matsuo · 2006 · Journal of High Energy Physics
  32. Singular vectors and topological theories from Virasoro constraints via the Kontsevich-Miwa transform
    Beatriz Gato-rivera A, A. M. Semikhatov · 1993 · Nuclear Physics B
  33. Mirror Symmetry And Quantum Geometry
    Kentaro Hori · 2002 · arXiv (Cornell University)
  34. Tau Function of the CKP Hierarchy and Non-linearizable Virasoro Symmetries
    Liang Chang, Chao‐Zhong Wu · 2016
  35. A Renormalizable SYK-Type Tensor Field Theory
    Joseph Ben Geloun, Vincent Rivasseau · 2018 · Annales Henri Poincaré
  36. Virasoro Constraints for Toric Bundles
    Tom Coates, Alexander B. Givental, Hsian‐Hua Tseng · 2024 · Forum of Mathematics Pi
  37. ON EQUIVALENCE OF TWO HURWITZ MATRIX MODELS
    A. A. Morozov, SH. SHAKIROV · 2009 · Modern Physics Letters A
  38. Solution of all quartic matrix models
    Harald Grosse, Alexander Hock, Raimar Wulkenhaar · 2025 · Advances in Mathematics
  39. GIT compactifications of M0,n and flips
    Noah Giansiracusa, David Jensen, Han‐Bom Moon · 2013 · Advances in Mathematics
  40. Flat F-Manifolds, F-CohFTs, and Integrable Hierarchies
    Alessandro Arsie, Alexandr Buryak, Paolo Lorenzoni, Paolo Rossi · 2021 · Communications in Mathematical Physics
  41. Higher order loop equations for Arand Drquiver matrix models
    Stefano Chiantese, Albrecht Klemm, Ingo Runkel B · 2004 · Journal of High Energy Physics
  42. Simple Maps, Hurwitz Numbers, and Topological Recursion
    Gaëtan Borot, Elba Garcia‐Failde · 2020 · Communications in Mathematical Physics
  43. Towards a common thread in complexity: an accuracy-based approach
    Pragya Shukla · 2008 · Journal of Physics A Mathematical and Theoretical
  44. Torelli groups, extended Johnson homomorphisms, and new cycles on the moduli space of curves
    Shigeyuki Morita, Robert Penner · 2008 · Mathematical Proceedings of the Cambridge Philosophical Society
  45. On computations of Hurwitz-Hodge integrals
    Jian Zhou · 2007 · arXiv (Cornell University)
  46. Random surfaces enumerating algebraic curves
    Andrei Yur'evich Okounkov · 2004 · arXiv (Cornell University)
  47. Entropy of random coverings and 4D quantum gravity
    Claudio Bartocci, Ugo Bruzzo, Mauro Carfora B, Annalisa Marzuoli · 1996 · Journal of Geometry and Physics
  48. Gromov–Witten invariants and integrable hierarchies of topological type
    Boris Dubrovin · 2014 · Translations - American Mathematical Society/Translations
  49. Towards a String Dual of SYK
    Akash Goel, Herman Verlinde · 2021 · arXiv (Cornell University)
  50. Generating functions for intersection numbers on moduli spaces of curves
    Okounkov, Andrei · 2001 · arXiv
  51. 2D Dilaton Gravity and the Weil–Petersson Volumes with Conical Defects
    Eberhardt, Lorenz, Turiaci, Gustavo J. · 2024 · Communications in Mathematical Physics
  52. Higher Airy structures and topological recursion for singular spectral curves
    Gaëtan Borot, Reinier Kramer, Yannik Schuler · 2023 · Annales de l’Institut Henri Poincaré D Combinatorics Physics and their Interactions
  53. Quantum chaos on edge
    Alexander Altland, Kun Woo Kim, Tobias Micklitz, Maedeh Rezaei, Julian Sonner, J. J. M. Verbaarschot · 2024 · Physical Review Research
  54. The complex Liouville string: The matrix integral
    Scott Collier, Lorenz Eberhardt, Beatrix Mühlmann, Victor A. Rodriguez · 2025 · SciPost Physics
  55. Constraining Weil–Petersson volumes by universal random matrix correlations in low-dimensional quantum gravity
    Torsten Weber, Fabian Haneder, Klaus Richter, Juan Diego Urbina · 2023 · Journal of Physics A Mathematical and Theoretical
  56. Borodin–Okounkov formula, string equation and topological solutions of Drinfeld–Sokolov hierarchies
    Mattia Cafasso, Chao‐Zhong Wu · 2019 · Letters in Mathematical Physics
  57. Equivariant orbifold structures on the projective line and integrable hierarchies
    Todor Milanov, Hsian‐Hua Tseng · 2010 · Advances in Mathematics
  58. Exact Poisson pencils, τ -structures and topological hierarchies
    Gregorio Falqui, Paolo Lorenzoni · 2011 · Physica D Nonlinear Phenomena
  59. Ribbon ℝ-trees and holomorphic dynamics on the unit disk
    Curtis T. McMullen · 2009 · Journal of Topology
  60. Counting lattice points in compactified moduli spaces of curves
    Norman Do, Paul T. Norbury · 2011 · Geometry & Topology
  61. GEOMETRIC TRANSITIONS
    Marcos Mariño · 2005 · Oxford University Press eBooks
  62. The partition function of the two-matrix model as an isomonodromic τ function
    Marco Bertola, Olivier Marchal · 2009 · Journal of Mathematical Physics
  63. Open/closed string duality for topological gravity with matter
    Akikazu Hashimoto, Min-xin Huang, Albrecht Klemm, David Shih · 2005 · Journal of High Energy Physics
  64. Toda lattice field theories, discrete W algebras, Toda lattice hierarchies and quantum groups
    L. Bonora, L.P. Colatto, C.P. Constantinidis · 1996 · Physics Letters B
  65. Integrable systems and holomorphic curves
    Paolo Rossi · 2009 · arXiv (Cornell University)
  66. Gravitational descendants and the moduli space of higher spin curves
    Tyler J. Jarvis, Takashi Kimura, Arkady Vaintrob · 2001 · Contemporary mathematics - American Mathematical Society
  67. Solution of W-Constraints for R-Spin Intersection Numbers
    Jian Zhou · 2013 · arXiv (Cornell University)
  68. Intersection Numbers and Rank One Cohomological Field Theories in Genus One
    Alexandre Kabanov, Takashi Kimura · 1998
  69. 2 ASYMPTOTICS FOR PRODUCTS OF CHARACTERISTIC POLYNOMIALS IN CLASSICAL β-ENSEMBLES
    Patrick Desrosiers, Dang-Zheng Liu · 2016
  70. On the moduli space of deformations of bihamiltonian hierarchies of hydrodynamic type
    Aliaa Barakat · 2008 · Advances in Mathematics
  71. Generalized string equations for double Hurwitz numbers
    Kanehisa Takasaki · 2011 · Journal of Geometry and Physics
  72. Voros Coefficients for the Hypergeometric Differential Equations and Eynard–Orantin’s Topological Recursion: Part I—For the Weber Equation
    Kohei Iwaki, Tatsuya Koike, Yumiko Takei · 2022 · Annales Henri Poincaré
  73. Counting square-tiled surfaces with prescribed real and imaginary foliations and connections to Mirzakhani's asymptotics for simple closed hyperbolic geodesics
    Francisco Arana–Herrera · 2020 · Journal of Modern Dynamics
  74. Large genus asymptotic geometry of random square-tiled surfaces and of random multicurves
    Vincent Delecroix, Élise Goujard, Peter Zograf, Anton Zorich · 2022 · Inventiones mathematicae
  75. A geometric recipe for twisted superpotentials
    Lotte Hollands, Philipp Rüter, Richard J. Szabo · 2021 · Journal of High Energy Physics
  76. Large deviations for random matrices
    Sourav Chatterjee, Srinivasa R. S. Varadhan · 2012 · Communications on Stochastic Analysis
  77. Graph homology: Koszul and Verdier duality
    Andrey Lazarev, Alexander A. Voronov · 2008 · Advances in Mathematics
  78. Computing topological invariants with one and two-matrix models
    E. Brézin, S. Hikami · 2009 · Journal of High Energy Physics
  79. Stokes phenomena and non-perturbative completion in the multi-cut two-matrix models
    Chuan-Tsung Chan, Hirotaka Irie, Chi-Hsien Yeh · 2011 · Nuclear Physics B
  80. Matrix Model Tools and Geometry of Moduli Spaces
    Leonid Olegovich Chekhov · 1997 · Acta Applicandae Mathematicae
  81. Non-commutative matrix integrals and representation varieties of surface groups in a finite group
    Motohico Mulase, Josephine Yu · 2005 · Annales de l’institut Fourier
  82. gl(N, N) current algebras and topological field theories
    J.M. Isidro, A.V. Ramallo · 1994 · Nuclear Physics B
  83. Genus-2 Gromov-Witten invariants for manifolds with semisimple quantum cohomology
    Xiaobo Liu · 2007 · American Journal of Mathematics
  84. Witten's conjecture, Virasoro conjecture, and invariance of tautological equations
    Y.-P. Lee · 2003 · arXiv (Cornell University)
  85. A dual point of view on the ribbon graph decomposition of moduli space
    Kevin J. Costello · 2006 · arXiv (Cornell University)
  86. Hyperbolic Geometry of Superstring Perturbation Theory
    Seyed Faroogh Moosavian, Roji Pius · 2017 · arXiv (Cornell University)
  87. Elliptic Gromov-Witten Invariants And Virasoro Conjecture
    Xiaobo Liu · 1999
  88. Duality and replicas for a unitary matrix model
    E. Brézin, S. Hikami · 2010
  89. Planar maps, circle patterns and 2D gravity
    François David, Bertrand Eynard · 2014 · Annales de l’Institut Henri Poincaré D Combinatorics Physics and their Interactions
  90. Topological Strings and Quantum Curves
    Lotte Hollands · 2009 · Amsterdam University Press eBooks
  91. The Φ43 and Φ63 matricial QFT models have reflection positive two-point function
    Harald Grosse, Akifumi Sako, Raimar Wulkenhaar · 2017 · Nuclear Physics B
  92. Jacobi Ensemble, Hurwitz Numbers and Wilson Polynomials
    Massimo Gisonni, Tamara Grava, Giulio Ruzza · 2021 · Letters in Mathematical Physics
  93. Generalized Brézin–Gross–Witten tau-function as a hypergeometric solution of the BKP hierarchy
    A. Alexandrov · 2022 · Advances in Mathematics
  94. Pre-Calabi–Yau algebras and topological quantum field theories
    Maxim Kontsevich, Alex Takeda, Yiannis Vlassopoulos · 2025 · European Journal of Mathematics
  95. Uniqueness Theorem of $${\mathcal{W}}$$ W -Constraints for Simple Singularities
    Si-Qi Liu, Di Yang, Youjin Zhang · 2013 · Letters in Mathematical Physics
  96. Riemann surfaces, ribbon graphs and combinatorial classes
    Gabriele Mondello · 2009 · IRMA lectures in mathematics and theoretical physics
  97. On an Airy matrix model with a logarithmic potential
    E. Brézin, S. Hikami · 2012 · Journal of Physics A Mathematical and Theoretical
  98. Symmetric functions, codes of partitions and the KP hierarchy
    S. R. Carrell, I. P. Goulden · 2009 · Journal of Algebraic Combinatorics
  99. Algebraic Lattices in QFT Renormalization
    Michael Borinsky · 2016 · Letters in Mathematical Physics
  100. Noncommutative geometry and compactifications of the moduli space of curves
    Alastair Hamilton · 2010 · Journal of Noncommutative Geometry