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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2024 MCQ for Bulletin of the American Mathematical Society is 0.84.

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The moduli space of a punctured surface and perturbative series
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by R. C. Penner PDF
Bull. Amer. Math. Soc. 15 (1986), 73-77
References
  • William Abikoff, The real analytic theory of Teichmüller space, Lecture Notes in Mathematics, vol. 820, Springer, Berlin, 1980. MR 590044
  • Joan S. Birman, Braids, links, and mapping class groups, Annals of Mathematics Studies, No. 82, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1974. MR 0375281
  • [BE] B. Bowditch and D. B. A. Epstein, Triangulations associated with punctured surfaces, preprint (1985).
  • D. Bessis, C. Itzykson, and J. B. Zuber, Quantum field theory techniques in graphical enumeration, Adv. in Appl. Math. 1 (1980), no. 2, 109–157. MR 603127, DOI 10.1016/0196-8858(80)90008-1
  • [EP] D. B. A. Epstein and R. C. Penner, Teichmüller spaces of punctured surfaces, preprint (1984).
  • John L. Harer, The virtual cohomological dimension of the mapping class group of an orientable surface, Invent. Math. 84 (1986), no. 1, 157–176. MR 830043, DOI 10.1007/BF01388737
  • J. Harer and D. Zagier, The Euler characteristic of the moduli space of curves, Invent. Math. 85 (1986), no. 3, 457–485. MR 848681, DOI 10.1007/BF01390325
  • [P] R. C. Penner, Perturbative series and moduli space, preprint (1985).
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Additional Information
  • Journal: Bull. Amer. Math. Soc. 15 (1986), 73-77
  • MSC (1985): Primary 14H15, 30F35, 57N05; Secondary 05C30
  • DOI: https://doi.org/10.1090/S0273-0979-1986-15439-X
  • MathSciNet review: 838790