#### Volume 25, issue 6 (2021)

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Marked points on translation surfaces

### Paul Apisa and Alex Wright

Geometry & Topology 25 (2021) 2913–2961
##### Abstract

We show that all ${GL}^{+}\left(2,ℝ\right)$ equivariant point markings over orbit closures of translation surfaces arise from branched covering constructions and periodic points, completely classify such point markings over strata of quadratic differentials, and give applications to the finite blocking problem.

##### Keywords
translation surfaces, abelian differentials, Teichmüller dynamics
##### Mathematical Subject Classification 2010
Primary: 32G15, 37F30