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Funktsional'nyi Analiz i ego Prilozheniya, 2003, Volume 37, Issue 1, Pages 25–37
DOI: https://doi.org/10.4213/faa134 (Mi faa134) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Witten Solution for the Gelfand–Dikii Hierarchy

S. M. Natanzonab

a M. V. Lomonosov Moscow State University
b Independent University of Moscow
Full-text PDF (175 kB) Citations (5)
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DOI: https://doi.org/10.4213/faa134
Abstract: We derive formulas making it possible to calculate the Taylor expansion coefficients of the string solution for the Gelfand–Dikii hierarchy. According to the Witten conjecture, these coefficients coincide with the Mumford–Morita–Miller intersection numbers (correlators) of stable cohomology classes for the moduli space of n-spin bundles on Riemann surfaces with punctures.
Keywords: Gelfand–Dikii hierarchy, KP hierarchy, moduli space, Witten conjecture.
Received: 16.04.2001
English version:
Functional Analysis and Its Applications, 2003, Volume 37, Issue 1, Pages 21–31
DOI: https://doi.org/10.1023/A:1022919926368
Bibliographic databases:
Document Type: Article
UDC: 517.958+512.772.5
Language: Russian
Citation: S. M. Natanzon, “Witten Solution for the Gelfand–Dikii Hierarchy”, Funktsional. Anal. i Prilozhen., 37:1 (2003), 25–37; Funct. Anal. Appl., 37:1 (2003), 21–31
Citation in format AMSBIB
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  • https://doi.org/10.4213/faa134
  • https://www.mathnet.ru/eng/faa/v37/i1/p25
    • This publication is cited in the following 5 articles:
    1. A. V. Zabrodin, “Kadomtsev–Petviashvili hierarchies of types B and C”, Theoret. and Math. Phys., 208:1 (2021), 865–885  mathnet  crossref  crossref  adsnasa  isi  elib
    2. Krichever I. Zabrodin A., “Kadomtsev-Petviashvili Turning Points and Ckp Hierarchy”, Commun. Math. Phys., 386:3 (2021), 1643–1683  crossref  mathscinet  isi
    3. Liu K. Vakil R. Xu H., “Formal Pseudodifferential Operators and Witten'S R-Spin Numbers”, J. Reine Angew. Math., 728 (2017), 1–33  crossref  mathscinet  zmath  isi
    4. Natanzon S.M., Zabrodin A.V., “Formal Solutions To the KP Hierarchy”, J. Phys. A-Math. Theor., 49:14 (2016), 145206  crossref  mathscinet  zmath  isi  scopus
    5. Shadrin S.V., “Geometry of meromorphic functions and intersections on moduli spaces of curves”, Int. Math. Res. Not., 2003, no. 38, 2051–2094  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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