Examples of non-minimal open books with high fractional Dehn twist coefficient
Geometric Topology
2020-10-16 v1
Abstract
In this short note we construct examples of open books for 3-manifolds that show that arbitrarily high twisting of the monodromy of the open book does not guarantee maximality of the Euler characteristic of the pages among the open books supporting the same contact manifold. We find our examples of open books as the double branched covers of families of closed braids studied by Malyutin and Netsvetaev.
Keywords
Cite
@article{arxiv.2010.07869,
title = {Examples of non-minimal open books with high fractional Dehn twist coefficient},
author = {Peter Feller and Diana Hubbard},
journal= {arXiv preprint arXiv:2010.07869},
year = {2020}
}
Comments
7 pages. Comments welcome!