Simple braids for surface homeomorphisms
classification
🧮 math.DS
keywords
existsrotationsimplesurfacetherevectorbraidbraids
read the original abstract
Let S be a compact, oriented surface with negative Euler characteristic and let f be a homeomorphism of S that is isotopic to the identity. If there exists a periodic orbit with a non-zero rotation vector, then there exists a simple braid with the same rotation vector.
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