Windows, cores and skinning maps
Geometric Topology
2016-03-22 v2
Abstract
We give a generalization of Thurston's Bounded Image Theorem for skinning maps, which applies to pared 3-manifolds with incompressible boundary that are not necessarily acylindrical. Along the way we study properties of divergent sequences in the deformation space of such a manifold, establishing the existence of compact cores satisfying a certain notion of uniform geometry.
Keywords
Cite
@article{arxiv.1601.05482,
title = {Windows, cores and skinning maps},
author = {Jeffrey F. Brock and Kenneth W. Bromberg and Richard D. Canary and Yair N. Minsky},
journal= {arXiv preprint arXiv:1601.05482},
year = {2016}
}
Comments
41 pages, 5 figures. v2 contains new Theorem 4.9 which gives a finer model core statement in the convergent case