Algebra of differential operators associated with Young diagrams
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Ivanov, 2001, The algebra of conjugacy classes in symmetric groups and partial permutations, J. Math. Sci. (Kluwer), 107, 4212, 10.1023/A:1012473607966
A. Mironov, A. Morozov, S. Natanzon, Complete set of cut- and-join operators in Hurwitz–Kontsevich theory, Theor. Math. Phys. (in press) arXiv:0904.4227.
Morozov, 2009, Generation of matrix models by W-operators, J. High Energy Phys., 0904, 064, 10.1088/1126-6708/2009/04/064
Bouchard
Mironov, 2009, Virasoro constraints for Kontsevich–Hurwitz partition function, J. High Energy Phys., 0902, 024, 10.1088/1126-6708/2009/02/024
Matrix models as integrable systems. hep-th/9502091.
Challenges of matrix models. hep-th/0502010.
Mironov, 1994, 2D gravity and matrix models. I. 2D gravity, Int. J. Mod. Phys. A, 9, 4355, 10.1142/S0217751X94001746
2002, Matrix models of two-dimensional gravity, Phys. Part. Nucl., 33, 537
Kharchev, 1992, Unification of all string models with c<1, Phys. Lett. B, 275, 311, 10.1016/0370-2693(92)91595-Z
Goulden, 2000, The number of ramified coverings of the sphere by torus and surfaces of higher genera, Ann. Comb., 4, 27, 10.1007/PL00001274
Okounkov, 1998, Shifted Schur functions, St. Petersburg Math. J., 9
Macdonald, 1995
Zhelobenko, 1973
Hurwitz, 1891, Über Riemann’sche Flächen mit gegeben Verzweigungspunkten, Math. Ann. Bn., 39, 1, 10.1007/BF01199469
Alexeevski, 2006, Noncommutative two-dimensional topological field theories and Hurwitz numbers for real algebraic curves, Selecta Math. (NS), 12, 307
Gross, 1993, Twists and Wilson loops in the string theory of two dimensional QCD, Nuclear Phys. B, 403, 395, 10.1016/0550-3213(93)90042-N
Dijkgraaf, 1995, Mirror symmetry and elliptic curves, the moduli spaces of curves, Progr. Math., 129, 149
Arnold, 1996, Topological classification of complex trigonometric polynomials and the combinatorics of graphs with the same number of edges and vertices, Funct. Anal. Appl., 30, 1, 10.1007/BF02509551
Kostov, 1998, Complex matrix models and statistics of branched coverings of 2D surfaces, Comm. Math. Phys., 191, 283, 10.1007/s002200050269
Okounkov
Kharchev, 1995, Generalized Kazakov–Migdal–Kontsevich model: group theory aspects, Int. J. Mod. Phys. A, 10, 2015, 10.1142/S0217751X9500098X
Okounkov
Cordes, 1997, Large N 2D Yang–Mills theory and topological string theory, Comm. Math. Phys., 185, 543, 10.1007/s002200050102
Kazarian
Kazarian
Alexeevski, 2006, Algebra of Hurwitz numbers for seamed surfaces, Russian Math. Surveys, 61, 767, 10.1070/RM2006v061n04ABEH004345
Alexeevski, 2008, Algebra of two-fold graphs and Hurwitz numbers for seamed surfaces, Izv. Ran. Ser. Mat., 72, 3
Natanzon, 2010, Disk single Hurwitz numbers, Funk. An.i Prilozh., 44, 44