Relative index theorem in K-homology
V. E. Nazaikinskii (A. Ishlinsky Institute for Problems in Mechanics,, Moscow, Russia, Moscow Institute of Physics, Technology, Dolgoprudny,, Moscow District, Russia)
TL;DR
This paper establishes a relative index theorem in K-homology, extending classical index theory results to a new algebraic setting, which could impact geometric analysis and topology.
Contribution
It introduces a relative index theorem for K-homology classes, providing a novel extension of Gromov--Lawson type results.
Findings
Proved a relative index theorem in K-homology.
Extended classical index theorems to K-homology context.
Potential applications in geometric analysis.
Abstract
We prove an analog of Gromov--Lawson type relative index theorems for K-homology classes.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Topological and Geometric Data Analysis · Geometric and Algebraic Topology