Superconnections and index theory
نویسندگان
چکیده
منابع مشابه
Superconnections and Higher Index Theory
Let M be a smooth closed spin manifold. The higher index theorem computes the pairing between the group cohomology of π1(M) and the Chern character of the “higher” index of a Dirac-type operator on M. Using superconnections, we give a heat equation proof of this theorem on the level of differential forms on a noncommutative base space. As a consequence, we obtain a new proof of the Novikov conj...
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Let M be a closed enlargeable spin manifold. We show nontriviality of the universal index obstruction in the K-theory of the maximal C-algebra of the fundamental group of M . Our proof is independent from the injectivity of the Baum-Connes assembly map for π1(M) and relies on the construction of a certain infinite dimensional flat vector bundle out of a sequence of finite dimensional vector bun...
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ژورنال
عنوان ژورنال: Journal of Geometry and Physics
سال: 2011
ISSN: 0393-0440
DOI: 10.1016/j.geomphys.2011.04.004