Abstract
Let be a translation surface. We show that certain deformations of supported on the set of all cylinders in a given direction remain in the –orbit closure of . Applications are given concerning complete periodicity, affine field of definition and the number of parallel cylinders which may be found on a translation surface in a given orbit closure.
Citation
Alex Wright. "Cylinder deformations in orbit closures of translation surfaces." Geom. Topol. 19 (1) 413 - 438, 2015. https://doi.org/10.2140/gt.2015.19.413
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