Title: Mapping Surgery to Analysis I: Analytic Signatures
Abstract: We develop the theory of analytically controlled Poincarcomplexes over C ∗ - algebras. We associate a signature in C ∗ -algebra K-theory to such a complex, and we show that it is invariant under bordism and homotopy. Mathematics Subject Classifications (2000): 19J25, 19K99.
Publication Year: 2004
Publication Date: 2004-12-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 81
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