5 citations · 11 across the 12 of their papers we have counts for
15 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…
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…
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…
Systolic geometry of translation surfaces
Tobias Columbus, Frank Herrlich, Bjoern Muetzel +1
In this paper we investigate the systolic landscape of translation surfaces for fixed genus and fixed angles of their cone points. We furthermore study how the systoles of a transl…
Transplantation and isogeny of intermediate Jacobians of compact Kähler manifolds
Carolyn Gordon, Eran Makover, Bjoern Muetzel +1
We give a general method for constructing compact Kähler manifolds and whose intermediate Jacobians and are isogenous for each , and we exhibit…
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…
A new lower bound for Hermite's constant for symplectic lattices
Bjoern Muetzel
In section 1 we give an improved lower bound on Hermite's constant for symplectic lattices in even dimensions () by applying a mean-value argument from the geometry…
Length spectrum of geodesic loops in manifolds of nonpositive curvature
Bjoern Muetzel
In section 1 we reformulate a theorem of Blichfeldt in the framework of manifolds of nonpositive curvature. As a result we obtain a lower bound on the number of homotopically disti…
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…