Lipschitz constants to curve complexes
Vaibhav Gadre, Eriko Hironaka, Richard P. Kent IV, Christopher J., Leininger
TL;DR
This paper investigates how the optimal Lipschitz constant behaves asymptotically for the systole map from Teichmuller space to the curve complex, providing insights into geometric structures.
Contribution
It determines the asymptotic behavior of the optimal Lipschitz constant for the systole map, a novel analysis in the context of Teichmuller theory.
Findings
Asymptotic behavior of the Lipschitz constant is characterized.
Provides bounds or exact growth rates for the constant.
Enhances understanding of geometric mappings in Teichmuller space.
Abstract
We determine the asymptotic behavior of the optimal Lipschitz constant for the systole map from Teichmuller space to the curve complex.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory