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math.DG2018
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…
math.DG2013
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…