Masur-Veech volumes of Qg,n are expressed as explicit polynomials in psi-class intersection numbers, and flat square-tiled counts are shown to match hyperbolic multicurve frequencies up to a normalization constant.
Effective counting of simple closed geodesics on hyperbolic surfaces
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We prove a quantitative estimate, with a power saving error term, for the number of simple closed geodesics of length at most $L$ on a compact surface equipped with a Riemannian metric of negative curvature. The proof relies on the exponential mixing rate for the Teichm\"{u}ller geodesic flow.
fields
math.GT 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Masur-Veech volumes, frequencies of simple closed geodesics and intersection numbers of moduli spaces of curves
Masur-Veech volumes of Qg,n are expressed as explicit polynomials in psi-class intersection numbers, and flat square-tiled counts are shown to match hyperbolic multicurve frequencies up to a normalization constant.