Geometry of the Hitchin Component.

Hitchin component;geometric structures;cross ratio;triple ratio;Mathematics;Science;Mathematics

Zhang, TengrenFomin, Sergey ;

University of Michigan

关键词: Hitchin component;    geometric structures;    cross ratio;    triple ratio;    Mathematics;    Science;    Mathematics;   

Others  :  https://deepblue.lib.umich.edu/bitstream/handle/2027.42/113605/tengren_1.pdf?sequence=1&isAllowed=y

瑞士|英语

来源: The Illinois Digital Environment for Access to Learning and Scholarship

【 摘 要 】

We construct a parameterization of the PSL(n,R) Hitchin component that generalizes the Fenchel-Nielsen coordinates on Teichmuller space. Using this parameterization, we study the degeneration of certain geometric quantities, such as length functions and topological entropy, that are associated to the representations in the Hitchin component.