17 citations · 17 across the 6 of their papers we have counts for
7 papers
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…
Short homology bases for hyperelliptic hyperbolic surfaces
Peter Buser, Eran Makover, Bjoern Muetzel
Given a hyperelliptic hyperbolic surface of genus , we find bounds on the lengths of homologically independent loops on . As a consequence, we show that for any $λ…
Energy distribution of harmonic 1-forms and Jacobians of Riemann surfaces with a short closed geodesic
Peter Buser, Eran Makover, Bjoern Muetzel +1
We study the energy distribution of harmonic 1-forms on a compact hyperbolic Riemann surface where a short closed geodesic is pinched. If the geodesic separates the surface int…
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…
Quasiconformal embeddings of Y-pieces
Peter Buser, Eran Makover, Bjoern Muetzel +1
In this paper we construct quasiconformal embeddings from Y-pieces that contain a short boundary geodesic into degenerate ones. These results are used in a companion paper to study…
Some planar isospectral domains
Peter Buser, John Conway, Peter Doyle +1
We give a number of examples of isospectral pairs of plane domains, and a particularly simple method of proving isospectrality. One of our examples is a pair of domains that are no…