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Uspekhi Mat. Nauk, 2017, Volume 72, Issue 5(437), Pages 63–112 (Mi umn9777)  
This article is cited in 1 scientific paper (total in 1 paper)

New approaches to integrable hierarchies of topological type

A. Y. Buryakab

a Moscow State University
b University of Leeds

Abstract: This survey is devoted to a large class of systems of partial differential equations which on the one hand appear in classical problems of mathematical physics and on the other hand provide an efficient tool for the description of enumerative invariants in algebraic geometry. Particular attention is paid to new approaches to these systems, in particular, to the approach proposed in a recent paper of the author.
Bibliography: 57 titles.

Keywords: moduli spaces of curves, cohomological field theories, systems of partial differential equations.

Funding Agency Grant Number
Russian Science Foundation 16-11-10260
This work was supported by grant no. 16-11-10260 of the Russian Science Foundation, the project “Geometry and mathematical physics of integrable systems”.


DOI: https://doi.org/10.4213/rm9777

Full text: PDF file (887 kB)
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English version:
Russian Mathematical Surveys, 2017, 72:5, 841–887

Bibliographic databases:

UDC: 512.772.5+517.957
MSC: 14H10, 37K05
Received: 13.04.2017
Revised: 29.08.2017

Citation: A. Y. Buryak, “New approaches to integrable hierarchies of topological type”, Uspekhi Mat. Nauk, 72:5(437) (2017), 63–112; Russian Math. Surveys, 72:5 (2017), 841–887

Citation in format AMSBIB
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  • https://doi.org/10.4213/rm9777
  • http://mi.mathnet.ru/eng/umn/v72/i5/p63

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. A. Buryak, J. Guéré, P. Rossi, “DR/DZ equivalence conjecture and tautological relations”, Geom. Topol., 23:7 (2019), 3537–3600  crossref  mathscinet  zmath  isi  scopus
    		• Успехи математических наук Russian Mathematical Surveys
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