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Bases for quadratic differentials

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Commentarii Mathematici Helvetici

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References

  1. Ahlfors, L. V.,Lectures on quasiconformal mappings, Van Nostrand, New York, 1966.

    MATH  Google Scholar 

  2. Ahlfors, L. V. andBers, L.,Riemann's mapping theorem for variable metrics, Ann. of Math.,72 (1960), 385–404.

    Article  MathSciNet  Google Scholar 

  3. Beardon, A. F. andMaskit, B.,Limit points of Kleinian groups and finite sided fundamental polyhedra, Acta Math.,132 (1974), 1–12.

    Article  MathSciNet  MATH  Google Scholar 

  4. Bers, L.,Uniformization by Beltrami equations, Comm. Pure. Appl. Math.,14 (1961), 215–228.

    MathSciNet  MATH  Google Scholar 

  5. Bers, L.,A non-standard integral equation with applications to quasiconformal mappings, Acta Math.,116 (1966), 113–134.

    Article  MathSciNet  MATH  Google Scholar 

  6. Bers, L.,Spaces of Kleinian groups, in “Several Complex Variables, Maryland 1970,” Lecture Notes in Mathematics,155 (1970), Springer, Berlin, 9–34.

    Chapter  Google Scholar 

  7. Bers, L.,Poincaré series for Kleinian groups, Comm. Pure Apl. Math.,26 (1973), 667–672 and27 (1974), 583.

    MathSciNet  MATH  Google Scholar 

  8. Bers, L., Automorphic forms for Schottky groups, Advances in Math.,16 (1975), 332–361.

    Article  MathSciNet  MATH  Google Scholar 

  9. Earle, C. J.,Some intrinsic coordinates on Teichmüller space, Proc. Amer. Math. Soc.,83 (1981), 527–531.

    Article  MathSciNet  MATH  Google Scholar 

  10. Earle, C. J. andKra, I.,On sections of some holomorphic families of closed Riemann surfaces, Acta Math.,137 (1976), 49–79.

    Article  MathSciNet  MATH  Google Scholar 

  11. Hefhal, D. A.,Quelques remarques à propos des séries de Poincaré sur les groupes de Schottky, C.R. Acad. Sci. Paris,280 (1975), A341-A344.

    Google Scholar 

  12. Hejhal, D. A.,Sur les séries de Poincaré des groupes fuchsiens, C.R. Acad. Sci. Paris,284 (1977) A607-A610.

    MathSciNet  Google Scholar 

  13. Hejhal, D. A.,Monodromy groups and Poincaré series, Bull. Amer. Math. Soc.,84 (1978), 339–376.

    Article  MathSciNet  MATH  Google Scholar 

  14. Kra, I.,Automorphic forms and Kleinian groups, Benjamin, Reading, Massachusetts, 1972.

    MATH  Google Scholar 

  15. Kra, I.,On spaces of Kleinian groups, Comment. Math. Helv.,47 (1972), 53–69.

    MathSciNet  MATH  Google Scholar 

  16. Kra, I.,Canonical mappings between Teichmüller spaces, Bull. Amer. Math. Soc.,4 (1981), 143–179.

    MathSciNet  MATH  Google Scholar 

  17. Kra, I. andMaskit, B.,Involutions on Kleinian groups, Bull. Amer. Math. Soc.,78 (1972) 801–805.

    MathSciNet  MATH  Google Scholar 

  18. Kra, I. andMaskit, B.,The deformation space of a Kleinian group, Amer. J. Math.,103 (1981), 1065–1102.

    Article  MathSciNet  MATH  Google Scholar 

  19. Ljan, G.M.,The kernel of the Poincaré θ-operator, Dokl. Akad. Nauk SSSR,230 (1976), 269–270, English translation: Soviet Math. Dokl.,17 (1976), 1283–1285.

    MathSciNet  Google Scholar 

  20. Maskit, B.,On boundaries of Teichmüller spaces and on Kleinian groups: II, Ann. of Math.,91 (1970), 607–639.

    Article  MathSciNet  Google Scholar 

  21. Maskit, B.,Self-maps of Kleinian groups Amer. J. Math.,93 (1971), 840–856.

    Article  MathSciNet  MATH  Google Scholar 

  22. Maskit, B.,On Klein's combination theorem III, Advances in the theory of Riemann surfaces, Ann. of Math. Studies,66 (1971), 297–316.

    MathSciNet  Google Scholar 

  23. Maskit, B. Decomposition of certain Kleinian groups, Acta Math.,130 (1973), 243–263.

    Article  MathSciNet  MATH  Google Scholar 

  24. Maskit, B.,Moduli of marked Riemann surfaces, Bull. Amer. Math. Soc.,80 (1974), 773–777.

    MathSciNet  MATH  Google Scholar 

  25. Maskit, B.,On the classification of Kleinian groups: I—Koebe groups, Acta Math.,135 (1975), 249–270.

    Article  MathSciNet  MATH  Google Scholar 

  26. Maskit, B.,On the classification of Kleinian groups II—signatures, Acta Math.,138 (1977), 17–42.

    Article  MathSciNet  MATH  Google Scholar 

  27. Wolpert, S.,The Fenchel-Nielsen deformation, Ann. of Math.,115 (1982), 501–528.

    Article  MathSciNet  Google Scholar 

  28. Wolpert, S., OnPoincaré series and the symplectic deformation geometry of Riemann surfaces, to appear.

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Authors and Affiliations

  1. Department of Mathematics, State University of New York at, 11794, Stony Brook, NY

    Irwin Kra & Bernard Maskit

Authors
  1. Irwin Kra
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  2. Bernard Maskit
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Additional information

Research partially supported by NSF grant MCS 7801248.

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Kra, I., Maskit, B. Bases for quadratic differentials. Commentarii Mathematici Helvetici 57, 603–626 (1982). https://doi.org/10.1007/BF02565877

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  • DOI: https://doi.org/10.1007/BF02565877

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