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Geodesics on Flat Surfaces

Anton Zorich
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Abstract

This short survey illustrates the ideas of Teichmuller dynamics. As a model application we consider the asymptotic topology of generic geodesics on a "flat" surface and count closed geodesics and saddle connections. This survey is based on the joint papers with A.Eskin and H.Masur and with M.Kontsevich.

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Anton Zorich. 2006-09-14. Geodesics on Flat Surfaces. https://arxiv.org/abs/math/0609399

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