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On the group of homotopy equivalences of a manifold |
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| Authors: | Hans Joachim Baues |
| Affiliation: | Max Planck Institute for Mathematics, Gottfried-Claren-Strasse 26, 53225 Bonn, Germany |
| Abstract: | We consider the group of homotopy equivalences  of a simply connected manifold  which is part of the fundamental extension of groups due to Barcus-Barratt. We show that the kernel of this extension is always a finite group and we compute this kernel for various examples. This leads to computations of the group for special manifolds , for example if is a connected sum of products  of spheres. In particular the group  is determined completely. Also the connection of with the group of isotopy classes of diffeomorphisms of is studied. |
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