On disk embedding up to s-cobordism

Details On disk embedding up to s-cobordism On disk embedding up to s-cobordism

2002-09-20

arxiv.org/abs/math/0209273v1

Mathematics

Geometric Topology

11 pages, 6 figures

Scientific paper

The disk embedding lemma is a technique underlying the topological classification results in 4-manifold topology for good fundamental groups. The purpose of this paper is to develop new tools for disk embedding that work up to s-cobordism, without restrictions on the fundamental group. As an application we show that a surgery problem gives rise to a collection of capped gropes that fit in the framework of control theory.

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