On disk embedding up to s-cobordism

Vyacheslav Krushkal

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On disk embedding up to s-cobordism

Vyacheslav Krushkal

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Abstract

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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Vyacheslav Krushkal. 2002-09-20. On disk embedding up to s-cobordism. https://arxiv.org/abs/math/0209273

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