Square Tiled Surfaces and Teichmüller Volumes of the Moduli Spaces of Abelian Differentials

By A. Zorich. 2002

75 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Mathematical Physics, Theoretical Computer Science

View Paper: https://www.semanticscholar.org/paper/48df4fc24744f5a14b4ef9880cde32f65d4950a0

How researchers see this paper

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

In Computational Theory and Mathematics

1. Carlos Matheus
2. A. Zorich
3. Don Zagier
4. Martin Moeller
5. G. Forni
6. Dawei Chen

In Mathematical Physics

1. Martin Moeller
2. Dawei Chen
3. Carlos Matheus
4. A. Zorich
5. G. Forni
6. Don Zagier
7. Martin Möller
8. A. Eskin

In Theoretical Computer Science

1. Carlos Matheus
2. A. Zorich
3. Martin Moeller
4. G. Forni
5. Dawei Chen
6. Dihua Jiang

Citations in the corpus

• A criterion for the simplicity of the Lyapunov spectrum of square-tiled surfaces (2013, unknown): “, [2,13,24,28,37,38,51], and references therein.”
• SQUARE-TILED CYCLIC COVERS (2010, background): “ial q = p∗q 0 on MN(a 1,a 2,a 3,a 4) and the corresponding flat metric. By construction, the resulting flat surface is tiled wit h unit squares. In other words, we get a square-tiled surface, see [EO], [Z1] (also called an origami, [Lo], [S]; also called an arithmetic translation surface, see [GuJ]). ”
• Quasimodularity and large genus limits of Siegel-Veech constants (2016, background): “This normalization is discussed in [50] and it is shown there that volEMZ(Ω1Mg(m1, .”