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Master's Dissertation
DOI
10.11606/D.55.2012.tde-20032012-103343
Document
Author
Full name
Eber Daniel Chuño Vizarreta
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2012
Supervisor
Committee
Mencattini, Igor (President)
Ferreira, Carlos Henrique Grossi
Jardim, Marcos Benevenuto
Title in Portuguese
Elementos da teoria de Teichmüller
Keywords in Portuguese
Coordenadas de Fenchel-Nielsen
Espaço de Fricke
Espaço de moduli
Espaço de Teichmüller
Grupo fuchsiano
Superfícies de Riemann
Abstract in Portuguese
Nesta disertação estudamos algumas ferramentas básicas relacionadas aos espaços de Teichmüller. Introduzimos o espaço de Teichmüller de gênero g ≥ 1, denotado por Tg. O objetivo principal é construir as coordenadas de Fenchel-Nielsen ωG : Tg → R3g-3+ × R3g-3 para cada grafo trivalente marcado G.
Title in English
Elements of the Teichmüller theory
Keywords in English
Fenchel-Nielsen coordinates
Fricke space
Fuchsian group
Moduli space
Riemann surface
Teichmüller space
Abstract in English
In this dissertation we study some basic tools related to Teichmüller space. We introduce the Teichmüller space of genus g ≥ 1, denoted by Tg. The main goal is to construct the Fenchel-Nielsen coordinates ωG : Tg → R3g-3+ × R3g-3 to each marked cubic graph G.
 
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eberdefesa.pdf (1.93 Mbytes)
Publishing Date
2012-03-20
 
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