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Nuclear Physics B, 2013, Volume 866, Issue 3, Pages 414–443
DOI: https://doi.org/10.1016/j.nuclphysb.2012.09.012
(Mi nphb10)
 

This article is cited in 23 scientific papers (total in 23 papers)

Topological recursion for chord diagrams, RNA complexes, and cells in moduli spaces

J. E. Andersena, L. O. Chekhovbc, R. C. Pennerda, Ch. M. Reidyse, P. Sułkowskidfg

a Center for Quantum Geometry of Moduli Spaces, Aarhus University, DK-8000 Århus C, Denmark
b Department of Theoretical Physics, Steklov Mathematical Institute, Moscow, 119991, Russia
c School of Mathematics, Loughborough University, Leicestershire, UK
d Division of Physics, Mathematics and Astronomy, California Institute of Technology, Pasadena, CA, 91125, USA
e Department of Mathematics and Computer Science, University of Southern Denmark, DK-5230 Odense M, Denmark
f Institute for Theoretical Physics, University of Amsterdam, Science Park 904, 1090 GL, Amsterdam, The Netherlands
g Faculty of Physics, University of Warsaw, ul. Hoża 69, 00-681 Warsaw, Poland
Citations (23)
Funding agency Grant number
Danish National Research Foundation
Russian Foundation for Basic Research 10-02-01315-a
11-01-12037-ofi-m
11-02-90453-Ukr-f-a
Russian Academy of Sciences - Federal Agency for Scientific Organizations
Ministry of Education and Science of the Russian Federation NSh-4612.2012.1
DOE DE-FG03-92-ER40701FG-02
Foundation for Polish Science
Marie Sklodowska-Curie Actions
JEA and RCP are supported by the Centre for Quantum Geometry of Moduli Spaces which is funded by the Danish National Research Foundation. The research of LCh is supported by the Russian Foundation for Basic Research (Grants Nos. 10-02-01315-a, 11-01-12037-ofi-m-2011, and 11-02-90453-Ukr-f-a) by the Program Mathematical Methods of Nonlinear Dynamics and by the Grant of Supporting Leading Scientific Schools NSh-4612.2012.1. The research of PS is supported by the DOE grant DE-FG03-92-ER40701FG-02, the European Commission under the Marie-Curie International Outgoing Fellowship Programme, and the Foundation for Polish Science. RCP also acknowledges the kind support of Institut Henri Poincare where parts of this manuscript were written.
Received: 23.05.2012
Accepted: 17.09.2012
Bibliographic databases:
Document Type: Article
Language: English
Linking options:
  • https://www.mathnet.ru/eng/nphb10
  • This publication is cited in the following 23 articles:
    1. Nicolò Cangiotti, “Feynman Diagrams beyond Physics: From Biology to Economy”, Mathematics, 12:9 (2024), 1295  crossref
    2. Paul‐Hermann Balduf, Amelia Cantwell, Kurusch Ebrahimi‐Fard, Lukas Nabergall, Nicholas Olson‐Harris, Karen Yeats, “Tubings, chord diagrams, and Dyson–Schwinger equations”, Journal of London Math Soc, 110:5 (2024)  crossref
    3. Pavel Pevzner, Martin Vingron, Christian Reidys, Fengzhu Sun, Sorin Istrail, “Michael Waterman's Contributions to Computational Biology and Bioinformatics”, Journal of Computational Biology, 29:7 (2022), 601  crossref
    4. Andrei C. Bura, Qijun He, Christian M. Reidys, “Loop homology of bi-secondary structures II”, J Algebr Comb, 56:3 (2022), 785  crossref
    5. Chi H. Mak, Ethan N.H. Phan, “Diagrammatic approaches to RNA structures with trinucleotide repeats”, Biophysical Journal, 120:11 (2021), 2343  crossref
    6. Carlos I. Perez-Sanchez, “Comment on “The phase diagram of the multi-matrix model with ABAB-interaction from functional renormalization””, J. High Energ. Phys., 2021:7 (2021)  crossref
    7. Andrei C. Bura, Qijun He, Christian M. Reidys, “Loop homology of bi-secondary structures”, Discrete Mathematics, 344:6 (2021), 112371  crossref
    8. Andrei Bura, Qijun He, Christian Reidys, “Weighted Homology of Bi-Structures over Certain Discrete Valuation Rings”, Mathematics, 9:7 (2021), 744  crossref
    9. Andrew Manion, Marco Marengon, Michael Willis, “Strands algebras and Ozsváth and Szabó's Kauffman-states functor”, Algebr. Geom. Topol., 20:7 (2020), 3607  crossref
    10. Carlos I. Pérez-Sánchez, “Graph Calculus and the Disconnected-Boundary Schwinger-Dyson Equations of Quartic Tensor Field Theories”, Math Phys Anal Geom, 23:4 (2020)  crossref
    11. Joanna Ida Sulkowska, “On folding of entangled proteins: knots, lassos, links and θ-curves”, Current Opinion in Structural Biology, 60 (2020), 131  crossref
    12. Paweł Rubach, Sebastian Zajac, Borys Jastrzebski, Joanna I Sulkowska, Piotr Sułkowski, “Genus for biomolecules”, Nucleic Acids Research, 48:D1 (2020), D1129  crossref
    13. VINCENT DELECROIX, ÉLISE GOUJARD, PETER ZOGRAF, ANTON ZORICH, “ENUMERATION OF MEANDERS AND MASUR–VEECH VOLUMES”, Forum of Mathematics, Pi, 8 (2020)  crossref
    14. Sang Kwan Choi, Chaiho Rim, Hwajin Um, “RNA substructure as a random matrix ensemble”, Phys. Rev. E, 100:6 (2019)  crossref
    15. Sebastian Zając, Cody Geary, Ebbe Sloth Andersen, Pawel Dabrowski-Tumanski, Joanna I. Sulkowska, Piotr Sułkowski, “Genus trace reveals the topological complexity and domain structure of biomolecules”, Sci Rep, 8:1 (2018)  crossref
    16. Masahide Manabe, Piotr Sułkowski, “Quantum curves and conformal field theory”, Phys. Rev. D, 95:12 (2017)  crossref
    17. N.V. Alexeev, J.E. Andersen, R.C. Penner, P.G. Zograf, “Enumeration of chord diagrams on many intervals and their non-orientable analogs”, Advances in Mathematics, 289 (2016), 1056  crossref
    18. R. Penner, “Moduli spaces and macromolecules”, Bull. Amer. Math. Soc., 53:2 (2016), 217  crossref
    19. 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  isi  scopus
    20. 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  mathnet  crossref  crossref  isi  scopus
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