Windows, cores and skinning maps

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.

41 pages, 5 figures. v2 contains new Theorem 4.9 which gives a finer model core statement in the convergent case

References in corpus (1)

• Tameness of hyperbolic 3-manifolds

Cited by in corpus (2)

• Additive continuity of the renormalized volume under geometric limits
• The Double Limit Theorem and its Legacy