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Chekhov Leonid Olegovich
(recent publications)
| by years | scientific publications | by types |



   2018
1. Leonid Chekhov, Marta Mazzocco, “Colliding holes in Riemann surfaces and quantum cluster algebras”, Nonlinearity, 31:1 (2018), 54–107 , arXiv: 1509.07044v4  mathnet  crossref  mathscinet  isi (cited: 5)  scopus (cited: 4)
2. J. Ambjørn, L. Chekhov, Y. Makeenko, “Perturbed generalized multicritical one-matrix models”, Nuclear Phys. B, 928 (2018), 1–20  mathnet  crossref  mathscinet  isi  scopus
3. Jan Ambjørn, Leonid O. Chekhov, “Spectral curves for hypergeometric Hurwitz numbers”, J. Geom. Phys., 132 (2018), 382–392  mathnet  crossref  isi  scopus (cited: 1)

   2017
4. Jorgen Ellegaard Andersen, Gaetan Borot, Leonid O. Chekhov, Nicolas Orantin, The ABCD of topological recursion, 2017 , 75 pp., arXiv: 1703.03307
5. Leonid Chekhov, Paul Norbury, Topological recursion with hard edges, 2017 , 22 pp., arXiv: 1702.08631
6. Leonid Chekhov, Marta Mazzocco, Vladimir Rubtsov, Algebras of quantum monodromy data and decorated character varieties, 2017 , 22 pp., arXiv: 1705.01447
7. L. O. Chekhov, M. Mazzocco, “On a Poisson homogeneous space of bilinear forms with a Poisson–Lie action”, Russian Math. Surveys, 72:6 (2017), 1109–1156  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus
8. Leonid O. Chekhov, Marta Mazzocco, Vladimir N. Rubtsov, “Painlevé monodromy manifolds, decorated character varieties, and cluster algebras”, Int. Math. Res. Not. IMRN, 2017:24 (2017), 7639–7691  mathnet  crossref  mathscinet  isi (cited: 9)  scopus (cited: 5)

   2016
9. Leonid O. Chekhov, “The Harer–Zagier recursion for an irregular spectral curve”, J. Geom. Phys., 110 (2016), 30–43 , arXiv: 1512.09278  mathnet  crossref  mathscinet  zmath  isi (cited: 2)  elib  scopus (cited: 3)  scopus (cited: 3)

   2015
10. J. E. Andersen, L. O. Chekhov, P. Norbury, R. C. Penner, “Models of discretized moduli spaces, cohomological field theories, and Gaussian means”, J. Geom. Phys., 98 (2015), 312–339  mathnet  crossref  mathscinet  zmath  isi (cited: 7)  elib (cited: 1)  scopus (cited: 4)
11. J. E. Andersen, L. O. Chekhov, P. Norbury, R. C. Penner, “Topological recursion for Gaussian means and cohomological field theories”, Theoret. and Math. Phys., 185:3 (2015), 1685–1717  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 1)  elib  scopus (cited: 1)

   2014
12. L. Chekhov, M. Shapiro, “Teichmüller spaces of Riemann surfaces with orbifold points of arbitrary order and cluster variables”, Int. Math. Res. Not. IMRN, 2014:10 (2014), 2746–2772 , arXiv: 1111.3963  mathnet  crossref  mathscinet  zmath  isi (cited: 17)  scopus (cited: 18)
13. Jan Ambjørn, Leonid O. Chekhov, “The matrix model for dessins d'enfants”, Ann. Inst. Henri Poincaré D, 1:3 (2014), 337–361 , arXiv: 1404.4240  mathnet  crossref  mathscinet  zmath  zmath
14. J. Ambjørn, L. O. Chekhov, “A matrix model for hypergeometric Hurwitz numbers”, Theoret. and Math. Phys., 181:3 (2014), 1486–1498  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 12)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 12)

   2013
15. L. Chekhov, B. Eynard, S. Ribault, “Seiberg-Witten equations and non-commutative spectral curves in Liouville theory”, J. Math. Phys., 54:2 (2013), 022306 , 21 pp., arXiv: 1209.3984  mathnet  crossref  mathscinet  zmath  isi (cited: 8)  scopus (cited: 8)
16. J. E. Andersen, L. O. Chekhov, R. C. Penner, Ch. M. Reidys, P. Sułkowski, “Topological recursion for chord diagrams, RNA complexes, and cells in moduli spaces”, Nuclear Phys. B, 866:3 (2013), 414–443 , arXiv: 1205.0658  mathnet  crossref  mathscinet  isi (cited: 9)  elib (cited: 7)  scopus (cited: 10)
17. L. Chekhov, M. Mazzocco, “Poisson algebras of block-upper-triangular bilinear forms and braid group action”, Comm. Math. Phys., 322:1 (2013), 49–71 , arXiv: 1012.5251  mathnet (cited: 1)  crossref  mathscinet  zmath  isi (cited: 2)  elib (cited: 1)  scopus (cited: 2)
18. L. Chekhov, M. Mazzocco, Quantum ordering for quantum geodesic functions of orbifold Riemann surfaces, 2013 , 22 pp., arXiv: 1309.3493
19. J. E. Andersen, L. O. Chekhov, R. C. Penner, Ch. M. Reidys, P. Sulkowski, “Enumeration of RNA complexes via random matrix theory”, Biochemical Society Transactions, 41:2 (2013), 652–655  mathnet  crossref  isi (cited: 5)  elib (cited: 3)  scopus (cited: 5)

   2012
20. L. Chekhov, M. Mazzocco, “Block trangular bilinear forms and braid group action”, Tropical geometry and integrable systems, A conference on Tropical Geometry and Integrable Systems (Glasgow 3–8 July 2011), Contemp. Math., 580, eds. C. Athorne, D. Maclagan, and I. Strachan, Amer. Math. Soc., Providence, RI, 2012, 85–94  mathnet  crossref  mathscinet  isi (cited: 1)  scopus (cited: 2)
21. L. Chekhov, M. Mazzocco, “Teichmüller spaces as degenerated symplectic leaves in Dubrovin-Ugaglia Poisson manifolds”, Phys. D, 241:23-24 (2012), 2109–2121  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib (cited: 1)  scopus (cited: 1)

   2011
22. L. O. Chekhov, “Logarithmic potential $\beta$-ensembles and Feynman graphs”, Proc. Steklov Inst. Math., 272 (2011), 58–74  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
23. L. O. Chekhov, B. Eynard, O. Marchal, “Topological expansion of the $\beta$-ensemble model and quantum algebraic geometry in the sectorwise approach”, Theoret. and Math. Phys., 166:2 (2011), 141–185  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 32)  elib (cited: 21)  elib (cited: 21)  scopus (cited: 29)
24. L. Chekhov, M. Mazzocco, “Isomonodromic deformations and twisted Yangians arising in Teichmüller theory”, Adv. Math., 226:6 (2011), 4731–4775  crossref  mathscinet  zmath  isi (cited: 8)  elib (cited: 3)  scopus (cited: 7)
25. L. Chekhov, “Chapter 29. Algebraic geometry”, The Oxford Handbook of Random Matrix Theory, Oxford Handbooks in Mathematics, eds. G. Akemann, J. Baik, and P. Di Francesco, Oxford, 2011

   2010
26. V. M. Buchstaber, L. O. Chekhov, S. Yu. Dobrokhotov, S. M. Gusein-Zade, Yu. S. Ilyashenko, S. M. Natanzon, S. P. Novikov, G. I. Olshanski, A. K. Pogrebkov, O. K. Sheinman, S. B. Shlosman, M. A. Tsfasman, “Igor Krichever”, Mosc. Math. J., 10:4 (2010), 833–834  mathnet
27. L. Chekhov, M. Mazzocco, “Shear coordinate description of the quantized versal unfolding of a $D_4$ singularity”, J. Phys. A, 43:44 (2010), 442002 , 13 pp.  crossref  mathscinet  zmath  adsnasa  isi (cited: 4)  elib (cited: 1)  scopus (cited: 5)
28. L. Chekhov, M. Mazzocco, Poisson algebras of block-upper-triangular bilinear forms and braid group action, 2010 , 22 pp., arXiv: 1012.5251


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