Ranks of mapping tori via the curve complex
classification
🧮 math.GT
keywords
complexcurvecircledistancefiberfibersfundamentalgenus
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We show that if the monodromy of a 3-manifold M that fibers over the circle has large translation distance in the curve complex, then the rank of the fundamental group of M is 2g+1, where g is the genus of the fiber.
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