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arxiv: math/0608752 · v2 · submitted 2006-08-30 · 🧮 math.GT · math.CO· math.MG

Totally geodesic subgraphs of the pants complex

classification 🧮 math.GT math.COmath.MG
keywords complexgeodesicpantstotallyassertsembeddedeveryfarey
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Our main theorem asserts that every Farey graph embedded in the 1-skeleton of the pants complex of any finite type surface is totally geodesic.

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