Article (Scientific journals)
Polynomial quadratic differentials on the complex plane and light-like polygons in the Einstein Universe
Tamburelli, Andrea
2019In Advances in Mathematics, 352, p. 483-515
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Keywords :
anti-de Sitter geometry; maximal surfaces; holomorphic differentials
Abstract :
[en] We construct geometrically a homeomorphism between the moduli space of polynomial quadratic differentials on the complex plane and light-like polygons in the 2-dimensional Einstein Universe. As an application, we find a class of minimal Lagrangian maps between ideal polygons in the hyperbolic plane.
Disciplines :
Mathematics
Author, co-author :
Tamburelli, Andrea ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
External co-authors :
yes
Language :
English
Title :
Polynomial quadratic differentials on the complex plane and light-like polygons in the Einstein Universe
Publication date :
2019
Journal title :
Advances in Mathematics
ISSN :
1090-2082
Publisher :
Elsevier, Atlanta, United States - California
Volume :
352
Pages :
483-515
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBilu :
since 07 December 2017

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