These notes were prepared for the DMV-Seminar held in Dusseldorf,
Schloss Mickeln from June 28 to July 5, 1987. They consist of two
parts which can be read independently. The reader is presumed to
have a basic education in differential and algebraic topology.
Surgery theory is the basic tool for the investigation of
differential and topological manifolds. A systematic development of
the theory is a long and difficult task. The purpose of these notes
is to describe simple examples and at the same time to give an
introduction to some of the systematic parts of the theory. The
first part is concerned with examples. They are related to
representations of finite groups and group actions on spheres, and
are considered as a generalisation of the spherical space form
problem. The second part reviews the general setting of surgery
theory and reports on the computation of the surgery abstraction
groups. Both parts present material not covered in any textbook and
also give an introduction to the literature and areas of research.
1. REPRESENTATION FORMS AND HOMOTOPY REPRESENTATIONS. Tammo tom
Dieck Mathematical Institute Gottingen University Fed. Rep. of
Germany Let G be a (finite) group. We consider group actions of G
on spheres and spherelike spaces.
General
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