9 citations · 19 across the 12 of their papers we have counts for
8 papers · 1 filter
Translation surfaces with large systoles
Peter Buser, Eran Makover, Bjoern Muetzel
In this paper we continue to investigate the systolic landscape of translation surfaces started in [CHMW]. We show that there is an infinite sequence of surfaces of g…
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…
Constructing metrics on a -torus with a partially prescribed stable norm
Eran Makover, Hugo Parlier, Craig J. Sutton
A result of Bangert states that the stable norm associated to any Riemannian metric on the -torus is strictly convex. We demonstrate that the space of stable norms associa…
The length of closed geodesics on random Riemann Surfaces
Eran Makover, Jeffrey McGowan
Short geodesics are important in the study of the geometry and the spectra of Riemann surfaces. Bers' theorem gives a global bound on the length of the first geodesics. We u…