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• W2506394768 abstract "The Novikov conjecture, that the higher signatures of a compact oriented manifold are homotopy invariant, is well-known both for its depth and for the breadth of the research it has spawned. There are two approaches to proving the conjecture for various classes of groups – one via geometric surgery techniques [8, 16, 9, 17], and the other via index theory methods. The index method appeared first in the work of Lusztig [33], which was greatly extended by Mǐscenko [35, 36] and Kasparov [28, 29, 30, 32]. The two methods are directly compared in Rosenberg’s article [42]. Connes introduced an intermediate approach which combines index methods with the more geometric techniques of cyclic cohomology [4, 10, 11, 12, 13, 15]." @default.
• W2506394768 created "2016-08-23" @default.
• W2506394768 creator A5063451332 @default.
• W2506394768 date "1995-11-23" @default.
• W2506394768 modified "2023-09-26" @default.
• W2506394768 title "Exotic index theory and the Novikov conjecture" @default.
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• W2506394768 doi "https://doi.org/10.1017/cbo9780511629365.009" @default.
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