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Sbornik: Mathematics, 2005, Volume 196, Issue 12, Pages 1715–1743
DOI: https://doi.org/10.1070/SM2005v196n12ABEH003738 (Mi sm1441) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Generating functions for modular graphs and Burgers's equation

I. V. Artamkin

Moscow State Institute of Radio-Engineering, Electronics and Automation (Technical University)
English version PDF (541 kB) Citations (5)
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DOI: https://doi.org/10.1070/SM2005v196n12ABEH003738
Abstract: It is shown that the generating functions of modular graphs satisfy Burgers's equations, which enable one to obtain in a unified way the generating functions for the virtual Euler characteristic and the Poincaré polynomial of the moduli space of punctured curves $\overline M_{g,n}$ and for the number (with weights $1/|{\operatorname{Aut}G}|$) of modular graphs $G$ of a definite type.
Received: 31.03.2005
Russian version:
Matematicheskii Sbornik, 2005, Volume 196, Number 12, Pages 3–32
DOI: https://doi.org/10.4213/sm1441
Bibliographic databases:
UDC: 512.772
MSC: Primary 14N10; Secondary 05Cxx, 35Q53
Language: English
Original paper language: Russian
Citation: I. V. Artamkin, “Generating functions for modular graphs and Burgers's equation”, Mat. Sb., 196:12 (2005), 3–32; Sb. Math., 196:12 (2005), 1715–1743
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Russian version PDF:253
    English version PDF:19
    References:56
    First page:1
     
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