Asymptotics of Masur-Veech volume of strata of quadratic differentials with many simple poles
Year: 2026
Type: preprint
Abstract: We provide large $n$ asymptotics of the Masur-Veech volumes for strata of quadratic differentials of the form $\mathcal{Q}_g(n,d_1,\dots,d_k,-1^{n+D-4g+4})$, where all positive integers $d_i$ are fixed and $D=d_1+\dots+d_k$. Our formulae are particularly explicit in genus $1$. For the two series of non-varying strata $\mathcal{Q}_1(n,-1^n)$ and $\mathcal{Q}_1(n,1,-1^{n+1})$ we give simple closed formulae for the volumes for any $n$.
Source: arXiv (Cornell University)
Authors: Rafi, Kasra, Zorich, Anton
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223254303