20 citations · 58 across the 18 of their papers we have counts for
4 papers · 1 filter
On Systolic Zeta Functions
Ivan Babenko, Daniel Massart
We define Dirichlet type series associated with homology length spectra of Riemannian, or Finsler, manifolds, or polyhedra, and investigate some of their analytical properties. As…
On the homology length spectrum of surfaces
Daniel Massart, Hugo Parlier
On a surface with a Finsler metric, we investigate the asymptotic growth of the number of closed geodesics of length less than which minimize length among all geodesic multicur…
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…
Stable norms of non-orientable surfaces
Florent Balacheff, Daniel Massart
We study the stable norm on the first homology of a closed, non-orientable surface equipped with a Riemannian metric. We prove that in every conformal class there exists a metric w…