A General Dixmier Trace Formula for the Density of States on Open Manifolds
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2023
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866916093786849280 |
|---|---|
| author | Hekkelman, Eva-Maria McDonald, Edward |
| author_facet | Hekkelman, Eva-Maria McDonald, Edward |
| contents | We give an abstract formulation of the Dixmier trace formula for the density of states. This recovers prior versions and allows us to provide a Dixmier trace formula for the density of states of second order elliptic differential operators on manifolds of bounded geometry satisfying a certain geometric condition. This formula gives a new perspective on Roe's index on open manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_13272 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A General Dixmier Trace Formula for the Density of States on Open Manifolds Hekkelman, Eva-Maria McDonald, Edward Mathematical Physics Other Condensed Matter Functional Analysis Metric Geometry Spectral Theory 47N50 (Primary) and 58J42, 53C23 (Secondary) We give an abstract formulation of the Dixmier trace formula for the density of states. This recovers prior versions and allows us to provide a Dixmier trace formula for the density of states of second order elliptic differential operators on manifolds of bounded geometry satisfying a certain geometric condition. This formula gives a new perspective on Roe's index on open manifolds. |
| title | A General Dixmier Trace Formula for the Density of States on Open Manifolds |
| topic | Mathematical Physics Other Condensed Matter Functional Analysis Metric Geometry Spectral Theory 47N50 (Primary) and 58J42, 53C23 (Secondary) |
| url | https://arxiv.org/abs/2304.13272 |