Masur--Veech volumes of quadratic differentials and their asymptotics
Mathematical Physics
2020-05-06 v1 math.MP
Exactly Solvable and Integrable Systems
Abstract
Based on the Chen--M\"oller--Sauvaget formula, we apply the theory of integrable systems to derive three equations for the generating series of the Masur--Veech volumes associated with the principal strata of the moduli spaces of quadratic differentials, and propose refinements of the conjectural formulas given in [12,4] for the large genus asymptotics of and of the associated area Siegel--Veech constants.
Keywords
Cite
@article{arxiv.2005.02275,
title = {Masur--Veech volumes of quadratic differentials and their asymptotics},
author = {Di Yang and Don Zagier and Youjin Zhang},
journal= {arXiv preprint arXiv:2005.02275},
year = {2020}
}
Comments
17 pages