This article is cited in 4 papers

Rational Hermitian $K$-theory and dihedral homology

R. L. Krasauskas, Yu. P. Solov'ev


Abstract: This paper studies the relations between Hermitian $K$-theory of topological spaces and the dihedral homology of differential graded algebras with involution. The results are applied to describe the rational homotopy type of the space of homeomorphisms of a simply-connected compact manifold.
Bibliography: 25 titles.

UDC: 513.83

MSC: Primary 18F25; Secondary 19D10, 19D25, 19D55, 57T20, 58D05

Received: 13.10.1986

 English version: Mathematics of the USSR-Izvestiya, 1989, 33:2, 261–293

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