Pillowcases and quasimodular forms

  • Alex Eskin
  • Andrei Okounkov
Part of the Progress in Mathematics book series (PM, volume 253)


We prove that natural generating functions for enumeration of branched coverings of the pillowcase orbifold are level 2 quasimodular forms. This gives a way to compute the volumes of the strata of the moduli space of quadratic differentials.


Modulus Space Theta Function Eisenstein Series Quadratic Differential Irreducible Character 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Birkhäuser Boston 2006

Authors and Affiliations

  • Alex Eskin
    • 1
  • Andrei Okounkov
    • 2
  1. 1.Department of MathematicsUniversity of ChicagoChicagoUSA
  2. 2.Department of MathematicsPrinceton UniversityPrincetonUSA

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