Analytic and topological index maps with values in the K-theory of mapping cones

作者：Deeley Robin J^*

来源：Journal of Noncommutative Geometry, 2016, 10(2): 681-708.

DOI：10.4171/JNCG/245

• Index theory
• K-homology
• mapping cones
• higher Atiyah-Patodi-Singer index theory

Index maps taking values in the K-theory of a mapping cone are defined and discussed. The resulting index theorem can be viewed in analogy with the Freed-Melrose index theorem. The framework of geometric K-homology is used in a fundamental way. In particular, an explicit isomorphism from a geometric model for K-homology with coefficients in a mapping cone, C-phi, to KK (C (X), C-phi) is constructed.

• 出版日期2016