17 citations · 17 across the 6 of their papers we have counts for
4 papers · 1 filter
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…
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…