Curvature operators and rational cobordism
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2022
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866912594905792512 |
|---|---|
| author | Bettiol, Renato G. Goodman, McFeely Jackson |
| author_facet | Bettiol, Renato G. Goodman, McFeely Jackson |
| contents | We determine linear inequalities on the eigenvalues of curvature operators that imply vanishing of the twisted $\hat A$ genus on a closed Riemannian spin manifold, where the twisting bundle is any prescribed parallel bundle of tensors. These inequalities yield surgery-stable curvature conditions tailored to annihilate further rational cobordism invariants, such as the Witten genus, elliptic genus, signature, and even the rational cobordism class itself. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_07548 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Curvature operators and rational cobordism Bettiol, Renato G. Goodman, McFeely Jackson Differential Geometry 53C21, 53C27, 57R75 We determine linear inequalities on the eigenvalues of curvature operators that imply vanishing of the twisted $\hat A$ genus on a closed Riemannian spin manifold, where the twisting bundle is any prescribed parallel bundle of tensors. These inequalities yield surgery-stable curvature conditions tailored to annihilate further rational cobordism invariants, such as the Witten genus, elliptic genus, signature, and even the rational cobordism class itself. |
| title | Curvature operators and rational cobordism |
| topic | Differential Geometry 53C21, 53C27, 57R75 |
| url | https://arxiv.org/abs/2212.07548 |