Skip to main content
Log in

An analog of the Harer-Zagier formula for unicellular bicolored maps

  • Published:
Functional Analysis and Its Applications Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. J. Harer and D. Zagier, “The Euler characteristic of the moduli space of curves,” Inv. Math.,85, No. 3, 457–485 (1986).

    Article  MATH  MathSciNet  Google Scholar 

  2. R. C. Penner, “The moduli space of a punctured surface and perturbative series,” Bull. Am. Math. Soc., New Ser.,15, No. 1, 73–77 (1986).

    Article  MATH  MathSciNet  Google Scholar 

  3. M. Kontsevich, “Intersection theory on the moduli space of curves,” Funkts. Anal. Prilozhen.,25, No. 2, 50–57 (1991).

    MATH  MathSciNet  Google Scholar 

  4. E. Looijenga, “Cellular decompositions of compactified moduli spaces of pointed curves,” The moduli space of curves (Texel Island, 1994), Progr. Math.,129, 369–400 (1995).

    MATH  MathSciNet  Google Scholar 

  5. R. C. Penner, “Perturbative series and the moduli space of punctured surfaces,” J. Diff. Geom.,27, 35–53 (1988).

    MATH  MathSciNet  Google Scholar 

  6. D. Zagier, “On the distribution of the number of cycles of elements in symmetric groups,” Nieuw Arch. Wisk. (4),13, No. 3, 489–495 (1995).

    MATH  MathSciNet  Google Scholar 

  7. F. Harary and W. T. Tutte “The number of plane trees with a given partition,” Mathematika (London),11, No. 2, 99–101 (1964).

    MATH  MathSciNet  Google Scholar 

  8. R. Cori and A. Machì, “Maps hypermaps and their automorphisms: a survey I, II, III,” Expositiones Math.,10, 403–427, 429–447, 449–467 (1992).

    MATH  Google Scholar 

  9. G. Jones, Characters and Surfaces, Preprint.

  10. D. Gorenstein, Finite Groups, 2nd ed., Chelsea Publishing Company, New York, 1980.

    MATH  Google Scholar 

  11. A. D. Polyanin and V. F. Zaitsev, Handbook of Exact Solutions for Ordinary Differential Equations, Boca Raton, CRC Press, 1995.

    MATH  Google Scholar 

  12. E. Kamke, Differentialgleichungen, Leipzig, 1959.

  13. V. A. Gurvich and G. B. Shabat, “Solution of the Harer-Zagier equation,” Usp. Mat. Nauk,48, No. 1, 159–160 (1993).

    MATH  MathSciNet  Google Scholar 

Download references

Authors

Additional information

Moscow State University; e-mail: adrianov@nw.math.msu.su. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 31, No. 3, pp. 1–9, July–September, 1997.

Translated by N. M. Adrianov

Rights and permissions

Reprints and permissions

About this article

Cite this article

Adrianov, N.M. An analog of the Harer-Zagier formula for unicellular bicolored maps. Funct Anal Its Appl 31, 149–155 (1997). https://doi.org/10.1007/BF02465782

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02465782

Keywords

Navigation