## Asymptotic Translation Length in the Curve Complex

*Valdivia, Aaron D.*;

- Subject: 30F60, 32G15 | Mathematics - Geometric Topologyarxiv: Mathematics::Geometric Topology

We show that when the genus and punctures of a surface are directly proportional by some rational number the minimal asymptotic translation length in the curve complex has behavior inverse to the square of the Euler characteristic. We also show that when the genus is fi... View more

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