Singular spaces, groupoids and metrics of positive scalar curvature
| Autor: | Vito Felice Zenobi, Paolo Piazza |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Mathematics - Differential Geometry
Class (set theory) Pure mathematics positive scalar curvature General Physics and Astronomy Dirac operator 01 natural sciences symbols.namesake Groupoids 0103 physical sciences FOS: Mathematics Order (group theory) 0101 mathematics Mathematics::Symplectic Geometry Mathematical Physics Fundamental class Spin-½ Mathematics 010102 general mathematics stratified spaces K-Theory and Homology (math.KT) Differential Geometry (math.DG) Mathematics - K-Theory and Homology symbols Minimal knowledge 010307 mathematical physics Geometry and Topology Scalar curvature |
| Popis: | We define and study, under suitable assumptions, the fundamental class, the index class and the rho class of a spin Dirac operator on the regular part of a spin stratified pseudomanifold. More singular structures, such as singular foliations, are also treated. We employ groupoid techniques in a crucial way; however, an effort has been made in order to make this article accessible to readers with only a minimal knowledge of groupoids. Finally, whenever appropriate, a comparison between classical microlocal methods and groupoids methods has been provided. 50 pages |
| Databáze: | OpenAIRE |
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