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arXiv:math/0609399 [math.DS]AbstractReferencesReviewsResources

Geodesics on Flat Surfaces

Anton Zorich

Published 2006-09-14Version 1

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.

Comments: (25 pages, 5 figures) Based on the talk at ICM 2006 at Madrid; see Proceedings of the ICM, Madrid, Spain, 2006, EMS, 121-146 for the final version. For a more detailed survey see the paper "Flat Surfaces", arXiv.math.DS/0609392
Journal: International Congress of Mathematicians. Vol. III, 121-146, Eur. Math. Soc., Z\"urich, 2006
Categories: math.DS, math.GT
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