Peter L Antonelli, Dan Burghelea, Peter J. Kahn — The Concordance-Homotopy Groups of Geometric Automorphism Groups
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Название: The Concordance-Homotopy Groups of Geometric Automorphism Groups
Авторы: Peter L Antonelli, Dan Burghelea, Peter J. Kahn
Аннотация:
Let (L be one of the folio-wing categories of oriented manifolds
and orientation-preserving maps:
manifolds and diffeomorphisnis.
I'C'
: PL manifolds and PL isomiorphisms.
irr-
I <^ : topological manifolds and hoi-neomorphisms.
?T : topological manifolds and homotopy equivalences.
The d-automorphisms of a closed, connected manifold M in ft. form a
semi-group fl^(M) under composition, a group -when (x^rf. We endo-w
A(M) -with the uniform C topology -when ffi,= ^44^ and -with the
compact-open topology-when OL^io^ or ^. When u.= »X, -we give
(J.(M) a PL structure, in the sense of Hirsch and Mazur [12], or -we give
it a semi-simplicial structure. In all cases, then, it becomes meaningful
to study the homotopy theory of {2.(M) and, in particular, the homotopy
groups Tr.((l(M)) = Tr.(a(M);idj^), i > 1.
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