The E_8-manifold, singular fibers and handlebody decompositions
Geometric Topology
2016-09-07 v1
Abstract
The E_8-manifold has several natural framed link descriptions, and we give an efficient method (via `grapes') for showing that they are indeed the same 4-manifold. This leads to explicit handle pictures for the perturbation of singular fibers in an elliptic surface to a collection of fishtails. In the same vein, we show how the degeneration of a regular fiber to a singular fiber in an elliptic surface provides rich examples of Gromov's compactness theorem.
Keywords
Cite
@article{arxiv.math/9911253,
title = {The E_8-manifold, singular fibers and handlebody decompositions},
author = {Robion Kirby and Paul Melvin},
journal= {arXiv preprint arXiv:math/9911253},
year = {2016}
}
Comments
26 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTMon2/paper13.abs.html