5 citations · 11 across the 12 of their papers we have counts for
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Short homology bases for translation surfaces
Peter Buser, Achintya Dey, Eran Makover +1
Let be a closed translation surface of genus with . We show that for any there exist homologically indep…
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…
Systolic geometry of translation surfaces
Tobias Columbus, Frank Herrlich, Bjoern Muetzel +1
In this paper we investigate the systolic landscape of translation surfaces for fixed genus and fixed angles of their cone points. We furthermore study how the systoles of a transl…
Length spectrum of geodesic loops in manifolds of nonpositive curvature
Bjoern Muetzel
In section 1 we reformulate a theorem of Blichfeldt in the framework of manifolds of nonpositive curvature. As a result we obtain a lower bound on the number of homotopically disti…