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International Mathematics Research Notices. IMRN, 2017, Volume 2017, Issue 24, Pages 7639–7691
DOI: https://doi.org/10.1093/imrn/rnw219
(Mi imrn12)
 

This article is cited in 11 scientific papers (total in 11 papers)

Painlevé monodromy manifolds, decorated character varieties, and cluster algebras

Leonid O. Chekhova, Marta Mazzoccob, Vladimir N. Rubtsovcd

a Steklov Mathematical Institute, Moscow, Russia
b Department of Mathematical Sciences, Loughborough University, UK
c Mathematics Department, University of Angers, France
d Theory Division, ITEP, Moscow
Citations (11)
Funding agency Grant number
Danish National Research Foundation DNRF95
Russian Foundation for Basic Research 14-01-00860-a
13-01-12405-ofi-m2
12-01-00525-a
15-01-05990
Engineering and Physical Sciences Research Council EP/J007234/1
Agence Nationale de la Recherche DIADEMS
Max-Planck-Institut für Mathematik
This work was partially supported by the center of excellence grant "Centre for Quantum Geometry of Moduli Spaces" from the Danish National Research Foundation (DNRF95) and by the Russian Foundation for Basic Research [14-01-00860-a and 13-01-12405-ofi-m2 to L.C.]. This research was supported by the EPSRC Research Grant [EP/J007234/1], by the Hausdorff Institute, by ANR "DIADEMS," by RFBR-12-01-00525-a, by RFBR-15-01-05990, MPIM (Bonn) and SISSA (Trieste).
Received: 02.12.2015
Revised: 28.06.2016
Accepted: 14.09.2016
Bibliographic databases:
Document Type: Article
Language: English
Linking options:
  • https://www.mathnet.ru/eng/imrn12
  • This publication is cited in the following 11 articles:
    1. Nikita Nekrasov, “Blowups in BPS/CFT Correspondence, and Painlevé VI”, Ann. Henri Poincaré, 25:1 (2024), 1123  crossref
    2. Emmanuel Paul, Jean-Pierre Ramis, Handbook of Geometry and Topology of Singularities VI: Foliations, 2024, 307  crossref
    3. Jean-Pierre Ramis, Handbook of Geometry and Topology of Singularities VI: Foliations, 2024, 383  crossref
    4. Olivier Marchal, Mohamad Alameddine, “Isomonodromic and isospectral deformations of meromorphic connections: the
      sl
      2
      (
      C
      )
      case”, Nonlinearity, 37:11 (2024), 115006  crossref
    5. I. A. Bobrova, “Different linearizations of non-abelian second Painlevé systems and related monodromy surfaces”, Journal of Mathematical Physics, 64:10 (2023)  crossref
    6. Dylan Allegretti, Tom Bridgeland, “The monodromy of meromorphic projective structures”, Trans. Amer. Math. Soc., 373:9 (2020), 6321  crossref
    7. Jonatan Lenells, Julien Roussillon, “Confluent conformal blocks of the second kind”, J. High Energ. Phys., 2020:6 (2020)  crossref
    8. L. O. Chekhov, “Fenchel–Nielsen coordinates and Goldman brackets”, Russian Math. Surveys, 75:5 (2020), 929–964  mathnet  mathnet  crossref  crossref  isi  scopus
    9. Valentin V. Lychagin, Volodya Roubtsov, Tutorials, Schools, and Workshops in the Mathematical Sciences, Nonlinear PDEs, Their Geometry, and Applications, 2019, 233  crossref
    10. O. Lisovyy, H. Nagoya, J. Roussillon, “Irregular conformal blocks and connection formulae for Painlevé V functions”, Journal of Mathematical Physics, 59:9 (2018)  crossref
    11. Leonid Chekhov, Marta Mazzocco, “Colliding holes in Riemann surfaces and quantum cluster algebras”, Nonlinearity, 31:1 (2018), 54–107  mathnet  crossref  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
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