Elliptic Theory on Manifolds with Corners: II. Homotopy classification and K-Homology

2006/08/14 by В. Е. Назайкинский, Nazaikinskii, V. E., A. Yu. Savin +3
Computer Science · Mathematics · #46L80 (Primary) 19K33 #58J40 (Secondary) #Algebraic structures and combinatorial models #Analysis of PDEs (math.AP) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Operator Algebras (math.OA) #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.math/0608354

openalex publication_date 2006/08/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We establish the stable homotopy classification of elliptic pseudodifferential operators on manifolds with corners and show that the set of elliptic operators modulo stable homotopy is isomorphic to the K-homology group of some stratified manifold. By way of application, generalizations of some recent results due to Monthubert and Nistor are given.

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