Cylinder counts and spin refinement of area Siegel-Veech constants - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2022

Cylinder counts and spin refinement of area Siegel-Veech constants

Résumé

We study the area Siegel-Veech constants of components of strata of abelian differentials with even or odd spin parity. We prove that these constants may be computed using either: (I) quasimodular forms, or (II) intersection theory. These results refine the main theorems of arXiv:1606.04065 and arXiv:1901.01785 which described the area Siegel-Veech constants of the full strata. Along the proof of (II), we establish a new identity for Siegel-Veech constants of cylinders.

Dates et versions

hal-03852451 , version 1 (15-11-2022)

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Jan-Willem van Ittersum, Adrien Sauvaget. Cylinder counts and spin refinement of area Siegel-Veech constants. 2022. ⟨hal-03852451⟩
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