Ranks of mapping tori via the curve complex
Geometric Topology
2017-07-25 v2
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.
Keywords
Cite
@article{arxiv.1409.1878,
title = {Ranks of mapping tori via the curve complex},
author = {Ian Biringer and Juan Souto},
journal= {arXiv preprint arXiv:1409.1878},
year = {2017}
}
Comments
21 pages, v2 includes referee suggestions