In this paper we prove that the systole fonction on a connected component of area one translation surfaces admits a local maximum that is not a global maximum if and only if the connected component is not hyperelliptic
43 pages. Preliminary version. Comments are welcomeWe propose a general framework for studying pseud...
Abstract. Given a hyperelliptic Klein surface, we construct com-panion Klein bottles, extending our ...
43 pages. Preliminary version. Comments are welcomeWe propose a general framework for studying pseud...
In this paper we prove that the systole fonction on a connected component of area one translation su...
Journal ref: Bull SMF 149 (2021)International audienceFor a translation surface, we define the systo...
Journal ref: Bull SMF 149 (2021)International audienceFor a translation surface, we define the systo...
Abstract. The flow in a fixed direction on a translation surface S de-termines a decomposition of S ...
Abstract. We are interested in the maximum value achieved by the systole function over all complete ...
33 pages, 4 figuresInternational audienceWe prove that the dilatation of any pseudo-Anosov homeomorp...
International audienceGiven a hyperelliptic Klein surface, we construct companion Klein bottles, ext...
The mapping class group of surfaces is a very rich object, directly related to the geometry of the m...
We construct a sequence of closed hyperbolic surfaces that are local maxima for the systole functio...
In this paper we investigate the systolic landscape of translation surfaces for fixed genus and fixe...
We describe geometric algorithms that generalize the classical continued fraction algorithm for the ...
43 pages. Preliminary version. Comments are welcomeWe propose a general framework for studying pseud...
43 pages. Preliminary version. Comments are welcomeWe propose a general framework for studying pseud...
Abstract. Given a hyperelliptic Klein surface, we construct com-panion Klein bottles, extending our ...
43 pages. Preliminary version. Comments are welcomeWe propose a general framework for studying pseud...
In this paper we prove that the systole fonction on a connected component of area one translation su...
Journal ref: Bull SMF 149 (2021)International audienceFor a translation surface, we define the systo...
Journal ref: Bull SMF 149 (2021)International audienceFor a translation surface, we define the systo...
Abstract. The flow in a fixed direction on a translation surface S de-termines a decomposition of S ...
Abstract. We are interested in the maximum value achieved by the systole function over all complete ...
33 pages, 4 figuresInternational audienceWe prove that the dilatation of any pseudo-Anosov homeomorp...
International audienceGiven a hyperelliptic Klein surface, we construct companion Klein bottles, ext...
The mapping class group of surfaces is a very rich object, directly related to the geometry of the m...
We construct a sequence of closed hyperbolic surfaces that are local maxima for the systole functio...
In this paper we investigate the systolic landscape of translation surfaces for fixed genus and fixe...
We describe geometric algorithms that generalize the classical continued fraction algorithm for the ...
43 pages. Preliminary version. Comments are welcomeWe propose a general framework for studying pseud...
43 pages. Preliminary version. Comments are welcomeWe propose a general framework for studying pseud...
Abstract. Given a hyperelliptic Klein surface, we construct com-panion Klein bottles, extending our ...
43 pages. Preliminary version. Comments are welcomeWe propose a general framework for studying pseud...