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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)
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
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
Linking options:
https://www.mathnet.ru/eng/sm1441https://doi.org/10.1070/SM2005v196n12ABEH003738 https://www.mathnet.ru/eng/sm/v196/i12/p3
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Abstract page: | 478 | Russian version PDF: | 253 | English version PDF: | 19 | References: | 56 | First page: | 1 |
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