Whitehead torsion of inertial h-cobordisms

Jahren, Bjørn; Kwasik, Sławomir

doi:10.1016/j.topol.2018.09.013

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Whitehead Torsion1

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2019

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“…This is the set of invertible cobordisms (W, j M , j N ) such that j −1 M • j N is homotopic to a diffeomorphism (homeomorphism). See [31].…”

Section: Whitehead Torsionmentioning

confidence: 99%

A simplification problem in manifold theory

Hausmann

Jahren

2019

Enseign. Math.

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Two smooth manifolds M and N are called R-diffeomorphic if M × R is diffeomorphic to N × R. We consider the following simplification problem: does R-diffeomorphism imply diffeomorphism or homeomorphism? For compact manifolds, analysis of this problem relies on some of the main achievements of the theory of manifolds, in particular the h-and scobordism theorems in high dimensions and the spectacular more recent classification results in dimensions 3 and 4. This paper presents what is currently known about the subject as well as some new results about classifications of R-diffeomorphisms.

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“…This is the set of invertible cobordisms (W, j M , j N ) such that j −1 M • j N is homotopic to a diffeomorphism (homeomorphism). See [31].…”

Section: Whitehead Torsionmentioning

confidence: 99%