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arXiv · 1409.1878

Ranks of mapping tori via the curve complex

Ian Biringer·Juan Souto
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Abstract

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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Ian Biringer, Juan Souto. 2017-07-24. Ranks of mapping tori via the curve complex. https://arxiv.org/abs/1409.1878

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