Pillowcases and quasimodular forms

By A. Eskin, A. Okounkov. 2005

54 citations recorded by the source corpus.

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.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/7fd706c937f77443775182ce859d1d3dee2c9054

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Maryam Mirzakhani
2. Bram Petri
3. Peter Zograf
4. D. Stanford
5. A. Wright
6. Kefeng Liu
7. Hao Xu
8. E. Witten

In Mathematical Physics

1. Maryam Mirzakhani
2. A. Wright
3. Kefeng Liu
4. Peter Zograf
5. Hao Xu
6. D. Stanford
7. Bram Petri
8. F. Labourie

Citations in the corpus

• Ergodic Theory of the Earthquake Flow (2010, methodology): “Using the results of this paper, we prove an equidistribution result for the level sets of the lengths of simple closed curves in the moduli space [25].”