Short homology bases for translation surfaces

Peter Buser, Achintya Dey, Eran Makover +1

Let $S$ be a closed translation surface of genus $g\ge 2$ with $\mathrm{area}(S)=4\pi g$. We show that for any $\lambda \in (0,1)$ there exist $\lfloor \lambda \cdot g\rfloor$ homologically indep…