Constructing convex planes in the pants complex
classification
🧮 math.GT
keywords
complexpantsconvexplanesskeletonclassconstructingdeduce
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Our main theorem identifies a class of totally geodesic subgraphs of the 1-skeleton of the pants complex, each isomorphic to the product of two Farey graphs. We deduce the existence of many convex planes in the 1-skeleton of the pants complex.
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