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math.GT2023
Some counterexamples in surface homology
Peter Buser, Eran Makover, Bjoern Muetzel
We present four counterexamples in surface homology. The first example shows that even if the loops inducing a homology basis intersect each other at most once, they still may sepa…
math.GT2018
Quantifying the sparseness of simple geodesics on hyperbolic surfaces
Peter Buser, Hugo Parlier
The goal of the article is to provide different explicit quantifications of the non density of simple closed geodesics on hyperbolic surfaces. In particular, we show that within an…