Volumes of strata of moduli spaces of quadratic differentials: getting explicit values
| Autor: | Elise Goujard |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Pure mathematics
Algebra and Number Theory 010102 general mathematics Geometric Topology (math.GT) 01 natural sciences Moduli space Mathematics - Geometric Topology Quadratic equation Simple (abstract algebra) 0103 physical sciences FOS: Mathematics 010307 mathematical physics Geometry and Topology 0101 mathematics Abelian group Meromorphic function Mathematics |
| Zdroj: | Annales DE l'Institut Fourier |
| DOI: | 10.48550/arxiv.1501.01611 |
| Popis: | The volumes of strata of Abelian or quadratic differentials play an important role in the study of dynamics on flat surfaces, related to dynamics in polygonal billiards. This article reviews all known ways to compute volumes in the quadratic case and provides explicit values of volumes of the strata of meromorphic quadratic differentials with at most simple poles in all low dimensions. Comment: 43 pages, 13 figures. To appear in Ann. Inst. Fourier. arXiv admin note: text overlap with arXiv:1405.5899 |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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