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arXiv · 2210.17374

Cylinder counts and spin refinement of area Siegel-Veech constants

Jan-Willem van Ittersum·Adrien Sauvaget
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Abstract

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.

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Jan-Willem van Ittersum, Adrien Sauvaget. 2022-10-31. Cylinder counts and spin refinement of area Siegel-Veech constants. https://arxiv.org/abs/2210.17374

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