Isoperiodic meromorphic forms: two simple poles

Autor: Calsamiglia, Gabriel, Deroin, Bertrand

In this paper we prove that isoperiodic moduli spaces of meromorphic differentials with two simple poles on homologically marked smooth curves are non empty and connected, unless they correspond to double covers of $\mathbb{C}/\mathbb{Z}$ on curves o

Externí odkaz: http://arxiv.org/abs/2109.01796

Translation surfaces and periods of meromorphic differentials

Autor: Chenakkod, Shabarish, Faraco, Gianluca, Gupta, Subhojoy

Let $S$ be an oriented surface of genus $g$ and $n$ punctures. The periods of any meromorphic differential on $S$, with respect to a choice of complex structure, determine a representation $\chi:\Gamma_{g,n} \to\mathbb C$ where $\Gamma_{g,n}$ is the

Externí odkaz: http://arxiv.org/abs/2103.01580

A transfer principle: from periods to isoperiodic foliations

Autor: Calsamiglia, Gabriel, Deroin, Bertrand, Francaviglia, Stefano

We classify the possible closures of leaves of the isoperiodic foliation (sometimes called absolute period foliation) defined on the Hodge bundle, i.e. the moduli space of abelian differentials over genus $g\geq 2$ smooth curves, and prove that the f

Externí odkaz: http://arxiv.org/abs/1511.07635

Translation surfaces and periods of meromorphic differentials

Autor: Chenakkod, S., Faraco, G., Gupta, S.

Publikováno v: Proceedings of the London Mathematical Society

Let $S$ be an oriented surface of genus $g$ and $n$ punctures. The periods of any meromorphic differential on $S$, with respect to a choice of complex structure, determine a representation $\chi:\Gamma_{g,n} \to\mathbb C$ where $\Gamma_{g,n}$ is the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bcafab0158e2bd1b98bca5234dd5b035
https://doi.org/10.1112/plms.12432

Enumeration of meanders and Masur-Veech volumes

Autor: Elise Goujard, Anton Zorich, Peter Zograf, Vincent Delecroix

Publikováno v: Forum of Mathematics, Pi
Forum of Mathematics, Pi, Professor Robert Guralnick Department of Mathematics|University of Southern California|Los Angeles|CA 90089-2532|USA, 2020, 8, pp.e4. ⟨10.1017/fmp.2020.2⟩

A meander is a topological configuration of a line and a simple closed curve in the plane (or a pair of simple closed curves on the 2-sphere) intersecting transversally. Meanders can be traced back to H. Poincar\'e and naturally appear in various are

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4e994c41776fca4ea65507efc719a1a9
http://arxiv.org/abs/1705.05190