Quasidiagonals in Strata of Translation Surfaces
Christopher Zhang
TL;DR
This paper classifies the orbit closures under the action of GL(2,R) in products of strata of translation surfaces, with implications for understanding measure joinings in dynamical systems.
Contribution
It provides a complete classification of GL(2,R) orbit closures in product strata, advancing the understanding of their structure and applications.
Findings
Classified all GL(2,R) orbit closures in product strata.
Established connections to joinings of Masur-Veech measures.
Enhanced understanding of dynamical properties of translation surfaces.
Abstract
We classify orbit closures in the product of strata of translation surfaces. Applications exist to joinings of certain Masur-Veech measures.
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Taxonomy
TopicsFinite Group Theory Research · Advanced Algebra and Geometry · Algebraic Geometry and Number Theory