Cylinder decompositions on geometric armadillo tails

2024/12/04 by Lee, Dami, Southerland, Josh
#37C86 #57K20 #57M50 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2412.03535

Abstract

We study a class of finite-area, infinite-type translation surfaces, and find an explicit cylinder decomposition on these surfaces which do not manifest on finite-type translation surfaces. Each cylinder decomposition contains a special curve which we show is an obstruction to the existence of certain affine diffeomorphisms.

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