A note on local change of diffeomorphism

Author:

Masuda Mikiya

Abstract

Let D ( M ) D(M) be the group of pseudo-isotopy classes of orientation preserving diffeomorphisms of a compact manifold M M which restrict to the identity on M \partial M . If a compact manifold N N of the same dimension as M M is embedded in M M , then extending maps in D ( N ) D(N) as the identity on the exterior of N N defines a homomorphism E : D ( N ) D ( M ) E:D(N) \to D(M) . We ask if the kernel of E E is finite and show that this is the case for special cases.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference9 articles.

1. The index of elliptic operators. III;Atiyah, M. F.;Ann. of Math. (2),1968

2. Characteristic classes and homogeneous spaces. I;Borel, A.;Amer. J. Math.,1958

3. Diffeomorphisms of 1-connected manifolds;Browder, William;Trans. Amer. Math. Soc.,1967

4. Diffeomorphisms of manifolds and semifree actions on homotopy spheres;Browder, William;Bull. Amer. Math. Soc.,1971

5. La stratification naturelle des espaces de fonctions différentiables réelles et le théorème de la pseudo-isotopie;Cerf, Jean;Inst. Hautes \'{E}tudes Sci. Publ. Math.,1970

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