Work

Volume of unit balls associated to quadratic differentials

Year: 2025
Type: preprint
Abstract: Associated to a holomorphic quadratic differential is a unit ball of the measured lamination space. The Thurston volume of the unit ball defines a function on the moduli space. We show that the volume function is not proper and characterize when it tends to infinity. We prove that the volume function is $p$-integrable for any $0
Open Access status: green
OpenAlex ID: W7101428456
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