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Second obstruction to pseudoisotopy I

2021/10/18 by Kiyoshi Igusa, Igusa, Kiyoshi
Mathematics · #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Advanced Operator Algebra Research

paper · pdf · doi:10.48550/arxiv.2110.09659

Abstract

A pseudoisotopy of M is a diffeomorphism of M× I which is the identity on M× 0. We give an explicit construction of pseudoisotopies of 4-manifolds which realize certain elements of the "second obstruction to pseudoisotopy". The next paper will give precise statements of our results for 5-manifolds which had been announced long ago.

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