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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Additional Information

DOI:
http://dx.doi.org/10.1090/S0002-9947-1973-0336759-X

Keywords:
Diffeomorphism groups,
isotopy,
homotopy,
surgery exact sequence

Article copyright:
© Copyright 1973
American Mathematical Society