This article is cited in 1 paper

Extension of the Hermitian $K$-theory functor and signature of topological manifolds

P. S. Popov

M. V. Lomonosov Moscow State University

Abstract: A new construction of symmetric non-commutative signature of non-simply-connected topological manifolds is proposed based on the natural definition of homology and cohomology of a topological manifold using the singular chain and cochain complexes.
Bibliography: 5 titles.

UDC: 515.163

MSC: Primary 57N65; Secondary 19G38, 55M05, 55N15, 55U15, 57N15

Received: 19.10.2006

DOI: 10.4213/sm3784

 English version: Sbornik: Mathematics, 2007, 198:8, 1145–1163

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