Zobrazeno 1 - 10
of 179
pro vyhledávání: '"Delecroix, Vincent"'
This book explores infinite-type translation surfaces and is intended as an introductory text for graduate and PhD students, as well as a reference for more advanced researchers. Chapter 1 introduces the three definitions of translation surfaces and
Externí odkaz:
http://arxiv.org/abs/2403.05424
A meander can be seen as a pair of transversally intersecting simple closed curves on a 2-sphere. We consider pairs of transversally intersecting simple closed curves on a closed oriented surface of arbitrary genus g. The number of such higher genus
Externí odkaz:
http://arxiv.org/abs/2304.02567
Consider a weighted, undirected graph cellularly embedded on a topological surface. The function assigning to each free homotopy class of closed curves the length of a shortest cycle within this homotopy class is called the marked length spectrum. Th
Externí odkaz:
http://arxiv.org/abs/2303.08036
We consider Kempe changes on the $k$-colorings of a graph on $n$ vertices. If the graph is $(k-1)$-degenerate, then all its $k$-colorings are equivalent up to Kempe changes. However, the sequence between two $k$-colorings that arises from the proof m
Externí odkaz:
http://arxiv.org/abs/2112.02313
Autor:
Borot, Gaëtan, Charbonnier, Séverin, Delecroix, Vincent, Giacchetto, Alessandro, Wheeler, Campbell
Publikováno v:
Int. Math. Res. Not. (2022)
The volume $\mathscr{B}_{\Sigma}^{{\rm comb}}(\mathbb{G})$ of the unit ball -- with respect to the combinatorial length function $\ell_{\mathbb{G}}$ -- of the space of measured foliations on a stable bordered surface $\Sigma$ appears as the prefactor
Externí odkaz:
http://arxiv.org/abs/2110.12538
Publikováno v:
In European Journal of Combinatorics June 2024 119
We study the interplay between the diagonal flow on, and the topology of, a stratum component of a space of rooted quadratic differentials. We prove that the flow group -- the subgroup of the fundamental group generated by almost-flow loops -- equals
Externí odkaz:
http://arxiv.org/abs/2101.12197
Publikováno v:
Duke Mathematical Journal, 170 no. 12 (2021), 2633-2718
We express the Masur-Veech volume and the area Siegel-Veech constant of the moduli space $\mathcal{Q}_{g,n}$ of genus $g$ meromorphic quadratic differentials with $n$ simple poles as polynomials in the intersection numbers of $\psi$-classes with expl
Externí odkaz:
http://arxiv.org/abs/2011.05306
Publikováno v:
Inventiones mathematicae, 230:1 (2022), 123-224
We study the combinatorial geometry of a random closed multicurve on a surface of large genus and of a random square-tiled surface of large genus. We prove that primitive components of a random multicurve represent linearly independent homology cycle
Externí odkaz:
http://arxiv.org/abs/2007.04740
Publikováno v:
SIGMA 16 (2020), 086, 13 pages
We approximate intersection numbers $\big\langle \psi_1^{d_1}\cdots \psi_n^{d_n}\big\rangle_{g,n}$ on Deligne-Mumford's moduli space $\overline{\mathcal M}_{g,n}$ of genus $g$ stable complex curves with $n$ marked points by certain closed-form expres
Externí odkaz:
http://arxiv.org/abs/2004.02749