Surgery and Harmonic Spinors
Overview & Synopsis
Let M be a compact manifold with a fixed spin structure \chi. The Atiyah-Singer index theorem implies that for any metric g on M the dimension of the kernel of the Dirac operator is bounded from below by a topological quantity depending only on M and \chi. We show that for generic metrics on M this bound is attained.
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Document Information
| Document Title | Surgery and Harmonic Spinors |
|---|---|
| Author / Organization | Bernd Ammann, Mattias Dahl, Emmanuel Humbert |
| Subject & Discipline | Multidisciplinary Academic Open Research |
| Categories | Science & Mathematics |
| Publication Year | 2006 |
| License / Rights | Open Access / Creative Commons |
| Resource Verification | Listed PDF (Verification Pending) |
| Original Host Website |
HAL Open Science
(hal.science)
|
| File Format | application/pdf (Portable Document Format) |
| Language | EN |
| Catalog ID | DOC-90430 |
| Original Source Link | Visit Source Page on hal.science » |