Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Diffeomorphisms homotopic to the identity

Author: Edward C. Turner
Journal: Trans. Amer. Math. Soc. 186 (1973), 489-498
MSC: Primary 57D50
MathSciNet review: 0336759
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Abstract: In this paper, an inductive procedure for describing the group of isotopy classes of null homotopic diffeomorphisms of a manifold is developed --this process depends on the handlebody structure of the manifold. This group is also shown to be finitely generated and in many cases abelian.

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Keywords: Diffeomorphism groups, isotopy, homotopy, surgery exact sequence
Article copyright: © Copyright 1973 American Mathematical Society