5 citations · 11 across the 12 of their papers we have counts for
9 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…
Construction of surfaces with large systolic ratio
Hugo Akrout, Bjoern Muetzel
Let be a closed, oriented, Riemannian manifold of dimension . We call a systole a shortest non-contractible loop in and denote by its length. Let $SR(…
Construction of hyperbolic Riemann surfaces with large systoles
Hugo Akrout, Bjoern Muetzel
Let be a compact hyperbolic Riemann surface of genus . We call a systole a shortest simple closed geodesic in and denote by its length. Let $\ma…
On the intersection form of surfaces
Daniel Massart, Bjoern Muetzel
Given a closed, oriented surface M, the algebraic intersection of closed curves induces a symplectic form Int(.,.) on the first homology group of M. If M is equipped with a Riemann…
The Jacobian of a Riemann surface and the geometry of the cut locus of simple closed geodesics
Bjoern Muetzel
To any compact Riemann surface of genus g one may assign a principally polarized abelian variety of dimension g, the Jacobian of the Riemann surface. The Jacobian is a complex toru…
Inequalities for the capacity of non-contractible annuli on cylinders of constant and variable negative curvature
Bjoern Muetzel
Using a new method we give elementary estimates for the capacity of non-contractible annuli on cylinders and provide examples, where these inequalities are sharp. Here the lower bo…
On the second successive minimum of the Jacobian of a Riemann surface
Bjoern Muetzel
To a compact Riemann surface of genus g can be assigned a principally polarized abelian variety (PPAV) of dimension g, the Jacobian of the Riemann surface. The Schottky problem is…