I will discuss joint work with Hugo Parlier concerning the shortest noncontractible loops—’systoles’—in a translation surface. In particular, we provide estimates (some sharp) on the number of systoles (up to homotopy) in the strata H(2g-2) and the stratum H(1,1). We also determine the maximum systolic ratio (length squared/area) in H(2g-2), and we give a conjectural value for maximum systolic ratio in H(1,1).
De Pascal Hubert
De Pascal Hubert
De Christopher Leininger
De Alex Wright
De Anna Lenzhen
De Christopher Leininger
De Christopher Leininger
De Sasha Skripchenko
De Sasha Skripchenko
De Rodolfo Gutierrez
De Anton Zorich
De Anton Zorich
De Anton Zorich
De Vaibhav Gadre
De Irene Pasquinelli
De Olga Paris-Romaskevich
