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 601–700 of 1,000

  1. Random matrix, singularities and open/close intersection numbers
    E. Brézin, S. Hikami · 2015 · Journal of Physics A Mathematical and Theoretical
  2. Hodge and Prym Tau Functions, Strebel Differentials and Combinatorial Model of $${\mathcal {M}}_{g,n}$$
    Marco Bertola, Dmitrii Aleksandrovich Korotkin · 2020 · Communications in Mathematical Physics
  3. Gauge theory formulation of hyperbolic gravity
    Frank D. Ferrari · 2021 · Journal of High Energy Physics
  4. Deformations of JT gravity via topological gravity and applications
    Stefan Förste B, Hans Jockers, Joshua Kames-King, Alexandros Kanargias · 2021 · Journal of High Energy Physics
  5. Schur Q-Polynomials and Kontsevich–Witten Tau Function
    Xiaobo Liu, Chenglang Yang · 2023 · Peking Mathematical Journal
  6. The coupling of Chern–Simons theory to topological gravity
    Camillo Imbimbo · 2009 · Nuclear Physics B
  7. The Equivariant Gromov–Witten Theory of and Integrable Hierarchies
    Todor Milanov · 2008 · International Mathematics Research Notices
  8. Orthogonal quantum group invariants of links
    Lin Chen, Qingtao Chen · 2012 · Pacific Journal of Mathematics
  9. Open intersection numbers and free fields
    A. Alexandrov · 2017 · Nuclear Physics B
  10. On Local Combinatorial Formulas for Chern Classes of a Triangulated Circle Bundle
    Nikolai Mnëv, Georgy Sharygin · 2017 · Journal of Mathematical Sciences
  11. A Laplacian to Compute Intersection Numbers on $$\overline{{{\mathcal {M}}}}_{g,n}$$ and Correlation Functions in NCQFT
    Alexander Hock, Harald Grosse, Raimar Wulkenhaar · 2023 · Communications in Mathematical Physics
  12. RECURSION FOR MASUR-VEECH VOLUMES OF MODULI SPACES OF QUADRATIC DIFFERENTIALS
    Maxim Eduardovich Kazarian · 2021 · Journal of the Institute of Mathematics of Jussieu
  13. Q-polynomial expansion for Brézin-Gross-Witten tau-function
    Xiaobo Liu, Chenglang Yang · 2022 · Advances in Mathematics
  14. Some Closed Formulas and Conjectures for Hodge Integrals
    Jian Zhou · 2003 · Mathematical Research Letters
  15. Volume of representation varieties
    Motohico Mulase, Michael Penkava · 2002 · arXiv (Cornell University)
  16. Combinatorial models for moduli spaces of open Riemann surfaces
    Brad Safnuk · 2016 · arXiv (Cornell University)
  17. gl(N,N) CURRENT ALGEBRAS AND TOPOLOGICAL FIELD THEORIES
    J. M. Isidro, A. V. Ramallo · 1993
  18. Modular envelopes, OSFT and nonsymmetric (non-$\Sigma$) modular operads
    Martin Markl · 2016 · Journal of Noncommutative Geometry
  19. Compactifications of configurations of points on P1 and quadratic transformations of projective space
    Marco Boggi · 1999 · Indagationes Mathematicae
  20. The Kontsevich–Penner Matrix Integral, Isomonodromic Tau Functions and Open Intersection Numbers
    Marco Bertola, Giulio Ruzza · 2018 · Annales Henri Poincaré
  21. From noncommutative geometry to random matrix theory
    Hamed Hessam, Masoud Khalkhali, Nathan Pagliaroli, Luuk S. Verhoeven · 2022 · Journal of Physics A Mathematical and Theoretical
  22. Resurgent large genus asymptotics of intersection numbers
    Bertrand Eynard, Elba Garcia‐Failde, Alessandro Giacchetto, Paolo Gregori, Danilo Lewański · 2026 · Forum of Mathematics Pi
  23. Tautological relations and integrable systems
    Alexandr Buryak, Sergey Shadrin · 2024 · Épijournal de Géométrie Algébrique
  24. Intersection numbers of polygon spaces
    J.A. Agapito, Leonor Godinho · 2009 · Transactions of the American Mathematical Society
  25. Analyticity of the Planar Limit of a Matrix Model
    Stavros Garoufalidis, Ionel Popescu · 2012 · Annales Henri Poincaré
  26. Edge contraction on dual ribbon graphs and 2D TQFT
    Olivia Dumitrescu, Motohico Mulase · 2017 · Journal of Algebra
  27. Matroid psi classes
    Jeshu Dastidar, Dustin Ross · 2022 · Selecta Mathematica
  28. Gromov-Witten invariants of P 1 coupled to a KdV tau function
    Paul T. Norbury · 2022 · Advances in Mathematics
  29. Topological recursion and uncoupled BPS structures I: BPS spectrum and free energies
    Kohei Iwaki, Omar Kidwai · 2022 · Advances in Mathematics
  30. Linearization of Virasoro symmetries associated with semisimple Frobenius manifolds
    Siqi Liu, Zhe Wang, Youjin Zhang · 2024 · Advances in Mathematics
  31. Classes on Compactifications of the Moduli Space of Curves Through Solutions to the Quantum Master Equation
    Alastair Hamilton · 2009 · Letters in Mathematical Physics
  32. Givental’s Lagrangian Cone and $S^1$-Equivariant Gromov–Witten Theory
    Tom Coates · 2008 · Mathematical Research Letters
  33. The structure and singularities of quotient arc complexes
    Robert Penner · 2008 · Journal of Topology
  34. Scaling Limits of Correlations of Characteristic Polynomials for the Gaussian -Ensemble with External Source
    Patrick Desrosiers, D.-Z. Liu · 2014 · International Mathematics Research Notices
  35. Towards a bihamiltonian structure for the double ramification hierarchy
    Alexandr Buryak, Paolo Rossi, Sergey Shadrin · 2021 · Letters in Mathematical Physics
  36. An algebraic approach to a quartic analogue of the Kontsevich model
    Jörg Schürmann, Raimar Wulkenhaar · 2022 · Mathematical Proceedings of the Cambridge Philosophical Society
  37. MORSE THEORY, GRAPHS, AND STRING TOPOLOGY
    Ralph L. Cohen · 2005 · Kluwer Academic Publishers eBooks
  38. Combinatorial facets of Hurwitz numbers
    Сергей Константинович Ландо · 2008 · CRC Press eBooks
  39. On a proof of a conjecture of Mariño-Vafa on Hodge Integrals
    Chiu-Chu Melissa Liu, Kefeng Liu, Jian Zhou · 2004 · Mathematical Research Letters
  40. The asymptotic Weil-Petersson form and intersection theory on M_{g,n}
    Norman Do · 2010 · arXiv (Cornell University)
  41. Cohomology of moduli spaces
    Frances Clare Kirwan · 2003 · arXiv (Cornell University)
  42. Enumeration of ramified coverings of the sphere and 2-dimensional gravity
    Dimitri Zvonkine · 2005 · arXiv (Cornell University)
  43. Quantum Deformation Theory of the Airy Curve and Mirror Symmetry of a Point
    Jian Zhou · 2014 · arXiv (Cornell University)
  44. Witten’s conjecture and the Virasoro conjecture for genus up to two
    Y.-P. Lee · 2006 · Contemporary mathematics - American Mathematical Society
  45. D-Brane Actions on Kähler Manifolds
    Akishi Kato · 2001 · Springer eBooks
  46. The M-truncated KP hierarchy and matrix models
    Shogo Aoyama, Yuji Kodama · 1992 · Physics Letters B
  47. Generalized Drinfel'd-Sokolov hierarchies, quantum rings, and W-gravity
    W. Lerche · 1995 · Nuclear Physics B
  48. Modular functors, cohomological field theories, and topological recursion
    Jørgen Ellegaard Andersen, Gaëtan Borot, Nicolas Orantin · 2018 · Proceedings of symposia in pure mathematics
  49. Comparing tautological relations from the equivariant Gromov-Witten theory of projective spaces and spin structures
    Felix Janda · 2014 · arXiv (Cornell University)
  50. The Gromov-Witten invariants of symplectic manifolds
    Holger Spielberg · 2000 · arXiv (Cornell University)
  51. Maximizing the number of edges in three-dimensional colored triangulations whose building blocks are balls
    Valentin Bonzom · 2018 · arXiv (Cornell University)
  52. Hermitian One-Matrix Model and KP Hierarchy
    Jian Zhou · 2018 · arXiv (Cornell University)
  53. Geometric recursion
    Jørgen Ellegaard Andersen, Gaëtan Borot, Nicolas Orantin · 2017 · arXiv (Cornell University)
  54. NEW MATRIX MODEL SOLUTIONS TO THE KAC-SCHWARZ PROBLEM
    Mark Adler, A. A. Morozov, Shiota, T., Van Moerbeke, Pierre, 29th International Ahrenshoop Symposium on the Theory of Elementary Particles · 1996
  55. A Matrix Integral Solution to [P, Q] = P and Matrix Laplace Transforms
    Mark Adler, A. A. Morozov, Shiota, T., Pierre van Moerbeke · 1996
  56. From Hurwitz numbers to Kontsevich-Witten tau-function: a connection by Virasoro operators
    A. Alexandrov · 2016
  57. The string equation and the τ-function Witt constraints for the discrete Kadomtsev-Petviashvili hierarchy
    Shaowei Liu, Wen‐Xiu Ma · 2013 · Journal of Mathematical Physics
  58. Monte Carlo approach to nonperturbative strings—demonstration in noncritical string theory
    Naoyuki Kawahara, Jun Nishimura, Atsushi Yamaguchi · 2007 · Journal of High Energy Physics
  59. Perturbative analysis of the colored Alexander polynomial and KP soliton τ-functions
    V. Mishnyakov, A. V. Sleptsov · 2021 · Nuclear Physics B
  60. Tau Functions and Virasoro Actions for soliton Hierarchies
    Chuu-Lian Terng, Karen Keskulla Uhlenbeck · 2016 · Communications in Mathematical Physics
  61. A Fock sheaf for Givental quantization
    Tom Coates, Hiroshi Iritani · 2018 · Kyoto journal of mathematics
  62. Equisingular Families of Projective Curves
    Gert–Martin Greuel, Christoph Lossen, Eugenii I. Shustin · 2006 · Springer eBooks
  63. From Hurwitz Numbers to Kontsevich–Witten Tau-Function: A Connection by Virasoro Operators
    A. Alexandrov · 2013 · Letters in Mathematical Physics
  64. On Itzykson-Zuber Ansatz
    Qingsheng Zhang, Jian Zhou · 2019 · Journal of High Energy Physics
  65. A remark on Mirzakhani’s asymptotic formulae
    Kefeng Liu, Hao Xu · 2014 · Asian Journal of Mathematics
  66. Quadratic differentials, half-plane structures, and harmonic maps to trees
    Subhojoy Gupta, Michael Wolf · 2016 · Commentarii Mathematici Helvetici
  67. Regularization of Hele–Shaw flows, multiscaling expansions and the Painlevé-I equation
    Luis Martı́nez Alonso, Елена Медина · 2008 · Chaos Solitons & Fractals
  68. ’t Hooft expansion of multi-boundary correlators in 2D topological gravity
    Kazumi Okuyama, Kazuhiro Sakai · 2021 · Progress of Theoretical and Experimental Physics
  69. Introduction to quantum Thurston theory
    Leonid Olegovich Chekhov, Robert Penner · 2003 · Russian Mathematical Surveys
  70. On field theory quantization around instantons
    Damiano Anselmi · 1997 · Classical and Quantum Gravity
  71. The modular geometry of random Regge triangulations
    M Carfora, C Dappiaggi, A Marzuoli · 2002 · Classical and Quantum Gravity
  72. Полный набор операторов разрезания и склейки в теории Гурвица - Концевича
    А. Миронов, А. Миронов, Алексей Юрьевич Морозов, Aleksei Yur'evich Morozov, Sergei Natanzon, Sergey Mironovich Natanzon, Sergei Natanzon, Sergey Mironovich Natanzon · 2011 · Теоретическая и математическая физика
  73. Calculating and Drawing Belyi Pairs
    G. B. Shabat · 2017 · Journal of Mathematical Sciences
  74. Drinfeld–Sokolov Hierarchies and Diagram Automorphisms of Affine Kac–Moody Algebras
    Siqi Liu, Chao‐Zhong Wu, Youjin Zhang, Xu Zhou · 2019 · Communications in Mathematical Physics
  75. Masur–Veech volumes of quadratic differentials and their asymptotics
    Di Yang, Don Bernard Zagier, Youjin Zhang · 2020 · Journal of Geometry and Physics
  76. The extended D-Toda hierarchy
    Jipeng Cheng, Todor Milanov · 2021 · Selecta Mathematica
  77. Archimedean $L$-factors and topological field theories I
    Anton A. Gerasimov, Dimitri Lebedev, Сергей Викторович Облезин · 2011 · Communications in Number Theory and Physics
  78. Rank two affine submanifolds in ℋ(2,2) and ℋ(3,1)
    David Aulicino, Duc-Manh Nguyen · 2016 · Geometry & Topology
  79. A guide to tropical modifications
    Nikita Sergeevich Kalinin · 2026 · Serdica Mathematical Journal
  80. $${\mathcal {N}}=1$$ super topological recursion
    Vincent Bouchard, Kento Osuga · 2021 · Letters in Mathematical Physics
  81. NEW STRING AMPLITUDES FROM OLD FERMAT (HYPER)SURFACES
    Arkady L. Kholodenko · 2004 · International Journal of Modern Physics A
  82. Multi-loop correlators for rational theories of 2D gravity from the generalized Kontsevich models
    Charlotte Kristjansen · 1995 · Nuclear Physics B
  83. Spin Gromov-Witten Invariants
    Tyler J. Jarvis, Takashi Kimura, Arkady Vaintrob · 2005 · Communications in Mathematical Physics
  84. Topological strings, matrix integrals, and singularity theory
    Toshio Nakatsu, A. Kato, Masatoshi Noumi B, Takashi Takebe · 1994 · Physics Letters B
  85. Remarks on Moduli of Curves
    Carel Faber, Eduard J. N. Looijenga · 1999 · Aspects of mathematics. E
  86. Convolution symmetries of integrable hierarchies, matrix models and τ-functions
    J. Harnad, A. Yu. Orlov · 2009 · arXiv (Cornell University)
  87. A generating function of the number of homomorphisms from a surface group into a finite group
    Motohico Mulase, Josephine Yu · 2002 · arXiv (Cornell University)
  88. On a Proof of a Conjecture of Marino-Vafa on Hodge Integrals
    Chiu-Chu Melissa Liu, Kefeng Liu, Jian Zhou · 2003 · arXiv (Cornell University)
  89. Mirzakharni's recursion formula is equivalent to the Witten-Kontsevich theorem
    Kefeng Liu, Hao Xu · 2007 · arXiv (Cornell University)
  90. Construction of the Φ^4_4-quantum field theory on noncommutative Moyal space
    Harald Grosse, Raimar Wulkenhaar · 2014 · arXiv (Cornell University)
  91. Enumerative Geometry Via the Moduli Space of Super Riemann Surfaces
    Paul T. Norbury · 2025 · SSRN Electronic Journal
  92. Triangulated Surfaces in Twistor Space: A Kinematical Set up for Open/Closed String Duality
    Mauro Carfora B, C. Dappiaggi, Valeria Gili · 2006
  93. Intersection numbers from the antisymmetric Gaussian matrix model
    E. Brézin, S. Hikami · 2008
  94. A remark on the three approaches to 2D Quantum gravity
    Alexander A. Belavin, Mikhail Bershtein, Grigory Tarnopolsky · 2016
  95. Spin Hurwitz theory and Miwa transform for the Schur Q-functions
    А. Миронов, A. A. Morozov, A.N. Zhabin · 2022 · Physics Letters B
  96. Holomorphic solutions of soliton equations
    Andrei Victorovich Domrin · 2022 · Transactions of the Moscow Mathematical Society
  97. Topological Recursion and Uncoupled BPS Structures II: Voros Symbols and the $$\tau $$-Function
    Kohei Iwaki, Omar Kidwai · 2023 · Communications in Mathematical Physics
  98. Virasoro constraints for moduli of sheaves and vertex algebras
    Arkadij Bojko, Woonam Lim, Miguel Moreira · 2024 · Inventiones mathematicae
  99. QFT with tensorial and local degrees of freedom: Phase structure from functional renormalization
    Joseph Ben Geloun, Andreas G. A. Pithis, Johannes Thürigen · 2024 · Journal of Mathematical Physics
  100. Conformal four-point integrals: recursive structure, Toda equations and double copy
    Florian Loebbert, Sven F. Stawinski · 2024 · Journal of High Energy Physics