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Symmetry, Integrability and Geometry: Methods and Applications, 2017, Volume 13, 060, 29 pp.
DOI: https://doi.org/10.3842/SIGMA.2017.060
(Mi sigma1260)
 

This article is cited in 8 scientific papers (total in 8 papers)

Integrability, Quantization and Moduli Spaces of Curves

Paolo Rossi

IMB, UMR5584 CNRS, Université de Bourgogne Franche-Comté, F-21000 Dijon, France
Full-text PDF (539 kB) Citations (8)
References:
Abstract: This paper has the purpose of presenting in an organic way a new approach to integrable $(1+1)$-dimensional field systems and their systematic quantization emerging from intersection theory of the moduli space of stable algebraic curves and, in particular, cohomological field theories, Hodge classes and double ramification cycles. This methods are alternative to the traditional Witten–Kontsevich framework and its generalizations by Dubrovin and Zhang and, among other advantages, have the merit of encompassing quantum integrable systems. Most of this material originates from an ongoing collaboration with A. Buryak, B. Dubrovin and J. Guéré.
Keywords: moduli space of stable curves; integrable systems; cohomological field theories; double ramification cycle; double ramification hierarchy.
Funding agency Grant number
Centre National de la Recherche Scientifique
During this work I was partially supported by a Chaire CNRS/Enseignement superieur 2012–2017 grant.
Received: February 28, 2017; in final form July 25, 2017; Published online July 29, 2017
Bibliographic databases:
Document Type: Article
MSC: 14H10; 14H70; 37K10
Language: English
Citation: Paolo Rossi, “Integrability, Quantization and Moduli Spaces of Curves”, SIGMA, 13 (2017), 060, 29 pp.
Citation in format AMSBIB
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\paper Integrability, Quantization and Moduli Spaces of Curves
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\totalpages 29
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  • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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