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

1. L. O. Chekhov, M. Z. Shapiro, H. Shibo, “Roots of the characteristic equation for the symplectic groupoid”, Russian Math. Surveys, 77:3 (2022), 552–554  mathnet  crossref  crossref
2. Leonid O. Chekhov, Michael Shapiro, “Log-Canonical Coordinates for Symplectic Groupoid and Cluster Algebras”, Int. Math. Res. Not. IMRN, 2022, 1–2 (Published online)  mathnet  crossref; (Published online)

3. Leonid Chekhov, Marta Mazzocco, Vladimir Rubtsov, “Quantised Painlevé monodromy manifolds, Sklyanin and Calabi–Yau algebras”, Adv. Math., 376 (2021), 107442 , 52 pp.  mathnet  crossref  isi (cited: 1)  scopus (cited: 2);
4. V. M. Buchstaber, A. N. Varchenko, A. P. Veselov, P. G. Grinevich, S. Grushevsky, S. Yu. Dobrokhotov, A. V. Zabrodin, A. V. Marshakov, A. E. Mironov, N. A. Nekrasov, S. P. Novikov, A. Yu. Okounkov, M. A. Olshanetsky, A. K. Pogrebkov, I. A. Taimanov, M. A. Tsfasman, L. O. Chekhov, O. K. Sheinman, S. B. Shlosman, “Igor' Moiseevich Krichever (on his 70th birthday)”, Russian Math. Surveys, 76:4 (2021), 733–743  mathnet  crossref  crossref  adsnasa  adsnasa  isi

5. Leonid O. Chekhov, “Symplectic Structures on Teichmüller Spaces $\mathfrak T_{g,s,n}$ and Cluster Algebras”, Proc. Steklov Inst. Math., 309 (2020), 87–96  mathnet  crossref  crossref  isi (cited: 2)  elib  scopus (cited: 2)
6. L. O. Chekhov, “Fenchel–Nielsen coordinates and Goldman brackets”, Russian Math. Surveys, 75:5 (2020), 929–964  mathnet  crossref  crossref  mathscinet  isi  elib  scopus

7. L. Chekhov, P. Norbury, “Topological recursion with hard edges”, Int. J. Math., 30:3 (2019), 1950014 , 29 pp., arXiv: 1702.08631  mathnet  crossref  mathscinet  zmath  isi (cited: 3)  scopus (cited: 4);  zmath

8. 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: 9)  scopus (cited: 9)
9. J. Ambjørn, L. Chekhov, Y. Makeenko, “Perturbed generalized multicritical one-matrix models”, Nuclear Phys. B, 928 (2018), 1–20  mathnet  crossref  mathscinet  isi  scopus
10. Jan Ambjørn, Leonid O. Chekhov, “Spectral curves for hypergeometric Hurwitz numbers”, J. Geom. Phys., 132 (2018), 382–392  mathnet  crossref  mathscinet  zmath  isi (cited: 3)  scopus (cited: 3)

11. Jorgen Ellegaard Andersen, Gaetan Borot, Leonid O. Chekhov, Nicolas Orantin, The ABCD of topological recursion, 2017 , 75 pp., arXiv: 1703.03307
12. Leonid Chekhov, Marta Mazzocco, Vladimir Rubtsov, Algebras of quantum monodromy data and decorated character varieties, 2017 , 22 pp., arXiv: 1705.01447
13. 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  adsnasa  isi  elib  scopus
14. 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: 21)  scopus (cited: 20)

15. 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: 4)  elib  scopus (cited: 5)  scopus (cited: 5)

16. 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: 9)  elib (cited: 1)  scopus (cited: 7)
17. 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  adsnasa  isi (cited: 3)  elib  scopus (cited: 2)

18. 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: 27)  scopus (cited: 31)
19. 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  scopus (cited: 28)
20. 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  adsnasa  isi (cited: 21)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 22)

21. 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  adsnasa  isi (cited: 8)  scopus (cited: 8)
22. 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  zmath  adsnasa  isi (cited: 19)  elib (cited: 7)  scopus (cited: 22)
23. 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  adsnasa  isi (cited: 2)  elib (cited: 1)  scopus (cited: 3)
24. L. Chekhov, M. Mazzocco, Quantum ordering for quantum geodesic functions of orbifold Riemann surfaces, 2013 , 22 pp., arXiv: 1309.3493
25. 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: 9)  elib (cited: 3)  scopus (cited: 10)

26. 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  zmath  isi (cited: 1)  scopus (cited: 3)
27. 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  adsnasa  isi (cited: 1)  elib (cited: 1)  scopus (cited: 1)

28. 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)
29. 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  adsnasa  isi (cited: 35)  elib (cited: 21)  elib (cited: 21)  scopus (cited: 33)
30. 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: 9)  elib (cited: 3)  scopus (cited: 10)
31. 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  mathscinet  zmath

32. 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
33. 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: 6)  elib (cited: 1)  scopus (cited: 7)
34. 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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