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 701–800 of 1,000
- Degenerate and Irregular Topological RecursionA. Alexandrov, Boris Sergeevich Bychkov, Petr Dunin‐Barkowski, Maxim Eduardovich Kazarian, Sergey Shadrin · 2025 · Communications in Mathematical Physics
- Algebro-Geometric Solutions of the Generalized Virasoro ConstraintsUniversidad de Salamanca, Spain, Francisco J. Plaza Martín · 2015 · Symmetry Integrability and Geometry Methods and Applications
- Quantum curves from refined topological recursion: The genus 0 caseOmar Kidwai, Kento Osuga · 2023 · Advances in Mathematics
- Connecting the Kontsevich-Witten and Hodge Tau-functions by the $${\widehat{GL(\infty)}}$$ G L ( ∞ ) ^ OperatorsXiaobo Liu, Gehao Wang · 2016 · Communications in Mathematical Physics
- Transitive factorizations of permutations and geometryI. P. Goulden, David M. Jackson · 2016 · American Mathematical Society eBooks
- From r-spin intersection numbers to Hodge integralsXiang-mao Ding A, Yuping Li, Lingxian Meng · 2016 · Journal of High Energy Physics
- A remark on the three approaches to 2D quantum gravityA. Belavin, Mikhail Bershtein, G. Tarnopolsky · 2011 · Journal of Experimental and Theoretical Physics Letters
- Triangulated surfaces in twistor space: a kinematical set up for open/closed string dualityMauro Carfora, Claudio Dappiaggi, Valeria L Gili · 2006 · Journal of High Energy Physics
- FEYNMAN DIAGRAMS VIA GRAPHICAL CALCULUSDomenico Fiorenza, Riccardo Murri · 2002 · Journal of Knot Theory and Its Ramifications
- Higher Orbifolds and Deligne-Mumford Stacks as Structured Infinity-TopoiDavid Carchedi · 2020 · Memoirs of the American Mathematical Society
- Разветвленные накрытия двумерной сферы и теория пересечений в пространствах мероморфных функций на алгебраических кривыхСергей Константинович Ландо · 2002 · Успехи математических наук
- Bergman Tau-Function: From Einstein Equations and Dubrovin-Frobenius Manifolds to Geometry of Moduli SpacesDmitry Korotkin · 2020 · Cambridge University Press eBooks
- Tautological module and intersection theory on Hilbert schemes of nodal curvesZiv Ran · 2013 · Asian Journal of Mathematics
- Reflective prolate‐spheroidal operators and the adelic GrassmannianW. Riley Casper, F. Alberto Grünbaum, Milen T. Yakimov, Ignacio Zurrián · 2023 · Communications on Pure and Applied Mathematics
- Topological recursion and geometryGaëtan Borot · 2020 · Reviews in Mathematical Physics
- Renormalization in Combinatorially Non-Local Field Theories: The Hopf Algebra of 2-GraphsJohannes Thürigen · 2021 · Mathematical Physics Analysis and Geometry
- Remarks on intersection numbers and integrable hierarchies, I: Quasi-trivialityBoris Dubrovin, Di Yang · 2020 · Advances in Theoretical and Mathematical Physics
- Virasoro constraints for stable pairs on toric threefoldsMiguel Moreira, Alexei Oblomkov, Andrei Yur'evich Okounkov, Rahul Pandharipande · 2022 · Forum of Mathematics Pi
- Geometry and arithmetic of integrable hierarchies of KdV type. I. IntegralityBoris Dubrovin, Di Yang, Don Bernard Zagier · 2023 · Advances in Mathematics
- Virasoro constraints and Hurwitz numbers through asymptotic analysisYon-Seo Kim, Kefeng Liu · 2009 · Pacific Journal of Mathematics
- Topological recursion for Gaussian means and cohomological field theoriesJørgen Ellegaard Andersen, Leonid Olegovich Chekhov, Paul T. Norbury, Robert Penner · 2015 · Theoretical and Mathematical Physics
- Equivariant Gromov-Witten Invariants of Algebraic GKM ManifoldsChiu-Chu Melissa Liu, Artan Sheshmani · 2017 · Symmetry Integrability and Geometry Methods and Applications
- Descendant Gromov–Witten invariants, simple Hurwitz numbers, and the Virasoro conjecture for $\mathbb{P}^1$Jun S. Song · 1999 · Advances in Theoretical and Mathematical Physics
- Quadratic Recursion Relations of Hodge Integrals via LocalizationGang Tian, Jian Zhou · 2003 · Acta Mathematica Sinica English Series
- New matrix model solutions to the Kac-Schwarz problemM. Adler, A. A. Morozov, T. Shiota, P. van Moerbeke · 1996 · Nuclear Physics B - Proceedings Supplements
- Holonomy and entropy estimates for dynamically triangulated manifoldsMauro Carfora B, Annalisa Marzuoli · 1995 · Journal of Mathematical Physics
- Topological Conformal Field Theory from the Point of View of Integrable SystemsBoris Dubrovin · 1993 · NATO ASI series. Series B : Physics
- Descendent integrals and tautological rings of moduli spaces of curvesKefeng Liu, Hao Xu · 2009 · arXiv (Cornell University)
- Virtual Moduli Cycles and GW-invariantsJun Li, Gang Tian · 1996 · arXiv (Cornell University)
- The Kontsevich connection on the moduli space of FZZT Liouville branesStefano Giusto B, Camillo Imbimbo · 2004 · Nuclear Physics B
- On the Kontsevich geometry of the combinatorial Teichmüller spaceJørgen Ellegaard Andersen, Gaëtan Borot, Séverin Charbonnier, Alessandro Giacchetto, Danilo Lewański, Campbell Wheeler · 2020 · arXiv (Cornell University)
- A new approach to the characteristic polynomial of a random unitary matrixYacine Barhoumi-Andréani · 2020 · arXiv (Cornell University)
- Increasing trees and Kontsevich cyclesKiyoshi Igusa, Michael Kleber · 2003
- From Matrices to Strings and BackShlomo S. Razamat · 2016
- Quantization of classical spectral curves via topological recursionBertrand Eynard, Elba Garcia‐Failde, Olivier Marchal, Nicolas Orantin · 2021 · arXiv (Cornell University)
- Probing mapping class groups using arcsRobert Penner · 2006 · Proceedings of symposia in pure mathematics
- Stable curves and screens on fatgraphsRobert Penner, Greg McShane · 2007 · arXiv (Cornell University)
- GIT Compactifications of from ConicsN. Giansiracusa, M. Simpson · 2010 · International Mathematics Research Notices
- From matrices to strings and backShlomo S. Razamat · 2010 · Journal of High Energy Physics
- Open KdV hierarchy of 2d minimal gravity of Lee-Yang seriesHisayoshi Muraki, Chaiho P. Rim · 2020 · Nuclear Physics B
- A natural basis for intersection numbersBertrand Eynard, Danilo Lewański · 2021 · HAL
- BKP hierarchy, affine coordinates, and a formula for connected bosonic n-point functionsZhiyuan Wang, Chenglang Yang · 2022 · Letters in Mathematical Physics
- Combinatorial PhysicsAdrian Tanasă · 2021
- Laplace transform of the $x-y$ symplectic transformation formula in Topological RecursionAlexander Hock · 2023 · Communications in Number Theory and Physics
- Resurgent Asymptotics of Jackiw–Teitelboim Gravity and the Nonperturbative Topological RecursionBertrand Eynard, Elba Garcia‐Failde, Paolo Gregori, Danilo Lewański, Ricardo Schiappa · 2024 · Annales Henri Poincaré
- Topological recursion relations on $$\overline M _{3,2} $$Takashi Kimura, Xiaobo Liu · 2015 · Science China Mathematics
- Tautological algebras of moduli spaces of curvesCarel Faber · 2013 · IAS/Park City mathematics series
- Generalized integrability and two-dimensional gravitationTimothy J. Hollowood, J. Luis Miramontes, J. Sánchez-Guillén · 1993 · Theoretical and Mathematical Physics
- Recursion Formulae of Higher Weil-Petersson VolumesKefeng Liu, H. Xu · 2008 · International Mathematics Research Notices
- Permutation combinatorics of worldsheet moduli spaceLaurent Freidel, David Garner, Sanjaye Ramgoolam · 2015 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
- Quantum Field Theories on an Algebraic CurveLeon A. Takhtajan · 2000 · Letters in Mathematical Physics
- Computing top intersections in the tautological ring of $${\mathcal{M}_g}$$Kefeng Liu, Hao Xu · 2011 · Mathematische Zeitschrift
- On the cohomological dimension of the moduli space of Riemann surfacesGabriele Mondello · 2017 · Duke Mathematical Journal
- Open KdV hierarchy and minimal gravity on diskAditya Bawane, Hisayoshi Muraki, Chaiho P. Rim · 2018 · Physics Letters B
- A unified approach to holomorphic anomaly equations and quantum spectral curvesZhiyuan Wang, Jian Zhou · 2019 · Journal of High Energy Physics
- Buryak–Okounkov Formula for the n-Point Function and a New Proof of the Witten ConjectureA. Alexandrov, Francisco Hernández Iglesias, Sergey Shadrin · 2020 · International Mathematics Research Notices
- An Explicit Formula for Witten’s 2-CorrelatorsPeter Zograf · 2019 · Journal of Mathematical Sciences
- Quantum field theory on noncommutative spacesRaimar Wulkenhaar · 2019 · Springer eBooks
- The quantum Witten–Kontsevich series and one-part double Hurwitz numbersXavier Blot · 2022 · Geometry & Topology
- Irreducible Metric Maps and Weil–Petersson VolumesTimothy Budd · 2022 · Communications in Mathematical Physics
- On the integrable hierarchy for the resolved conifoldMurad Alim, Arpan Saha · 2022 · Bulletin of the London Mathematical Society
- Handbook of moduliGavril Farkas, Ian Morrison · 2013 · Medical Entomology and Zoology
- The Laplace Transform, Mirror Symmetry, and the Topological Recursion of Eynard–OrantinMotohico Mulase · 2013 · Springer eBooks
- Intersection numbers and automorphisms of stable curvesKefeng Liu, Hao Xu · 2009 · The Michigan Mathematical Journal
- Thermodynamic limit and dispersive regularization in matrix modelsCostanza Benassi, Antonio Moro · 2020 · Physical review. E
- Wall-Crossings for Hassett Descendant PotentialsVance Blankers, Renzo Cavalieri · 2020 · International Mathematics Research Notices
- Matrix models for stationary Gromov–Witten invariants of the Riemann sphereMarco Bertola, G Ruzza · 2021 · Nonlinearity
- Dimension vs. genus: A surface realization of the little k-cubes and an E∞operadRalph M. Kaufmann · 2009 · Banach Center Publications
- A Change of Coordinates on the Large Phase Space¶of Quantum CohomologyAlexandre Kabanov, Takashi Kimura · 2001 · Communications in Mathematical Physics
- Integrable hierarchies and quantum gravityRobbert Dijkgraaf · 2005 · Springer eBooks
- Supermatrix models and multi ZZ-brane partition functions in minimal superstring theoriesMasafumi Fukuma, Hirotaka Irie · 2007 · Journal of High Energy Physics
- NEW MODELS FOR VENEZIANO AMPLITUDES: COMBINATORIAL, SYMPLECTIC AND SUPERSYMMETRIC ASPECTSArkady L. Kholodenko · 2005 · International Journal of Geometric Methods in Modern Physics
- Spacetime diffeomorphisms and topological w∞ symmetry in two-dimensional topological string theoryPetr Hořava · 1994 · Nuclear Physics B
- Quantum generalized cohomologyJack Morava · 1997 · Contemporary mathematics - American Mathematical Society
- Phase Transitions and Moduli Space TopologyD. D. Ferrante, GERALD S. GURALNIK · 2008 · arXiv (Cornell University)
- Entropy estimates for simplicial quantum gravityMauro Carfora B, Annalisa Marzuoli · 1995 · Journal of Geometry and Physics
- On tachyon condensation and open-closed duality in thec= 1 string theoryJörg Teschner · 2006 · Journal of High Energy Physics
- On minimal Script N = 4 topological strings and the (1,k) minimal bosonic stringVasilis Niarchos B · 2006 · Journal of High Energy Physics
- Homotopy Theory of Probability Spaces I: Classical independence and homotopy Lie algebrasJae-Suk Park · 2015 · arXiv (Cornell University)
- Word Measures on Unitary GroupsMichael J. Magee, Doron Puder · 2015 · arXiv (Cornell University)
- A journey from the Hitchin section to the oper moduliOlivia Dumitrescu · 2018 · Proceedings of symposia in pure mathematics
- Matrix models for topological strings: exact results in the planar limitSzabolcs Zakany · 2018 · arXiv (Cornell University)
- Supermatrix models and multi ZZ-brane partition functions in minimal superstring theoriesMasafumi Fukuma, Hirotaka Irie · 2007
- FIXED TRACE β-HERMITE ENSEMBLES: ASYMPTOTIC EIGENVALUE DENSITY AND THE EDGE OF THE DENSITYDa-Sheng Zhou, Dang-Zheng Liu, Tao Qian · 2012
- Comments on Worldsheet Theories Dual to Free Large N Gauge TheoriesOfer Aharony A, Justin R. David, Rajesh Gopakumar, Zohar Komargodski, Shlomo S. Razamat · 2007
- Gromov–Witten theory of complete intersections via nodal invariantsHülya Argüz, Pierrick Bousseau, Rahul Pandharipande, Dimitri Zvonkine · 2023 · Journal of Topology
- Shifted Witten classes and topological recursionSéverin Charbonnier, Nitin Kumar Chidambaram, Elba Garcia‐Failde, Alessandro Giacchetto · 2023 · Transactions of the American Mathematical Society
- Minimal gravity and Frobenius manifolds: bulk correlation on sphere and diskKonstantin Aleshkin, Alexander A. Belavin, Chaiho Rim · 2017 · Journal of High Energy Physics
- x-y duality in topological recursion for exponential variables via quantum dilogarithmAlexander Hock · 2024 · SciPost Physics
- MATRIX AIRY FUNCTIONS FOR COMPACT LIE GROUPSRahul N. Fernandez, Veeravalli S. Varadarajan · 2009 · International Journal of Mathematics
- Emergent Geometry of KP HierarchyJian Zhou · 2024 · Acta Mathematica Sinica English Series
- Random supermatrices with an external sourceE. Brézin, S. Hikami · 2018 · Journal of High Energy Physics
- Witten Solution for the Gelfand–Dikii HierarchySergey Mironovich Natanzon · 2003 · Functional Analysis and Its Applications
- Orbifold Gromov-Witten theory of weighted blowupsBohui Chen, Cheng-Yong Du, Rui Wang · 2020 · Science China Mathematics
- The tensor Harish-Chandra–Itzykson–Zuber integral I: Weingarten calculus and a generalization of monotone Hurwitz numbersBenoı̂t Collins, Razvan Gurău, Luca Lionni · 2023 · Journal of the European Mathematical Society
- Path integrals in JT gravity and Virasoro constraintsYusuke Kimura · 2022 · International Journal of Modern Physics A
- Algebras of Commuting Differential Operators for Kernels of Airy TypeW. Riley Casper, F. Alberto Grünbaum, Milen T. Yakimov, Ignacio Zurrián · 2022 · Operator theory
- Complete Solution of the LSZ Model via Topological RecursionJohannes Branahl, Alexander Hock · 2023 · Communications in Mathematical Physics
- KP Integrability of Triple Hodge Integrals: III—Cut-and-Join Description, KdV Reduction, and Topological RecursionsA. Alexandrov · 2024 · Communications in Mathematical Physics
- Blobbed topological recursion from extended loop equationsAlexander Hock, Raimar Wulkenhaar · 2025 · Journal of Geometry and Physics