Atiyah–Bott index on stratified manifolds

2007/11/27 by V. E. Nazaikinskii, A. Yu. Savin, B. Yu. Sternin · 1 citation
Mathematics · #Advanced Operator Algebra Research #Atiyah–Singer index theorem #Degree (music) #Geometry and complex manifolds #Index (typography) #Manifold (fluid mechanics) #Spectral Theory in Mathematical Physics #Topology (electrical circuits) #math.AP #math.KT #math.OA #msc:19K33 #msc:46L80 #msc:58J40

paper · pdf · doi:10.1007/s10958-010-0081-0

published as Journal of Mathematical Sciences, 2010, 170:2, 229-237 · 12 pages, no figures

arxiv created 2007/11/27 · openalex publication_date 2010/09/28 · openalex created_date 2016/06/24 · arxiv updated 2020/08/04 · openalex updated_date 2026/08/05

Abstract

We define Atiyah-Bott index on stratified manifolds and express it in topological terms. By way of example, we compute this index for geometric operators on manifolds with edges.

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