Parametrised databases of surfaces based on Teichmüller theory

We propose a new framework to build databases of surfaces with rich mathematical structure. Our approach is based on ideas that come from Teichmüller and moduli space of closed Riemann surfaces theory, and the problem of finding a canonical and explicit cell decomposition of these spaces. Databases...

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Autores principales:	Rodado Amaris,Armando, Lusares,Gina
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2016
Materias:	Database of Surfaces Design Teichmüller space Moduli Space of Riemann surfaces Canonical cell decomposition of Riemann surfaces Teichmüller surfaces descriptor
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462016000100006
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spelling	oai:scielo:S0719-064620160001000062018-10-08Parametrised databases of surfaces based on Teichmüller theoryRodado Amaris,ArmandoLusares,Gina Database of Surfaces Design Teichmüller space Moduli Space of Riemann surfaces Canonical cell decomposition of Riemann surfaces Teichmüller surfaces descriptor We propose a new framework to build databases of surfaces with rich mathematical structure. Our approach is based on ideas that come from Teichmüller and moduli space of closed Riemann surfaces theory, and the problem of finding a canonical and explicit cell decomposition of these spaces. Databases built using our approach will have a graphical underlying structure, which can be built from a single graph by contraction and expansion moves.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.18 n.1 20162016-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462016000100006en10.4067/S0719-06462016000100006
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Database of Surfaces Design Teichmüller space Moduli Space of Riemann surfaces Canonical cell decomposition of Riemann surfaces Teichmüller surfaces descriptor
spellingShingle	Database of Surfaces Design Teichmüller space Moduli Space of Riemann surfaces Canonical cell decomposition of Riemann surfaces Teichmüller surfaces descriptor Rodado Amaris,Armando Lusares,Gina Parametrised databases of surfaces based on Teichmüller theory
description	We propose a new framework to build databases of surfaces with rich mathematical structure. Our approach is based on ideas that come from Teichmüller and moduli space of closed Riemann surfaces theory, and the problem of finding a canonical and explicit cell decomposition of these spaces. Databases built using our approach will have a graphical underlying structure, which can be built from a single graph by contraction and expansion moves.
author	Rodado Amaris,Armando Lusares,Gina
author_facet	Rodado Amaris,Armando Lusares,Gina
author_sort	Rodado Amaris,Armando
title	Parametrised databases of surfaces based on Teichmüller theory
title_short	Parametrised databases of surfaces based on Teichmüller theory
title_full	Parametrised databases of surfaces based on Teichmüller theory
title_fullStr	Parametrised databases of surfaces based on Teichmüller theory
title_full_unstemmed	Parametrised databases of surfaces based on Teichmüller theory
title_sort	parametrised databases of surfaces based on teichmüller theory
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2016
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462016000100006
work_keys_str_mv	AT rodadoamarisarmando parametriseddatabasesofsurfacesbasedonteichmullertheory AT lusaresgina parametriseddatabasesofsurfacesbasedonteichmullertheory
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Parametrised databases of surfaces based on Teichmüller theory

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