Geometry of the Hitchin Component.

[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.

[发布机构] University of Michigan

[效力级别] geometric structures

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