| Texto completo | |
| Autor(es): |
Menet, Gregoire
;
Nordstrom, Johannes
;
Earp, Henrique N. Sa
Número total de Autores: 3
|
| Tipo de documento: | Artigo Científico |
| Fonte: | MATHEMATICAL RESEARCH LETTERS; v. 28, n. 2, p. 39-pg., 2021-01-01. |
| Resumo | |
We propose a method to construct G(2)-instantons over a compact twisted connected sum G(2)-manifold, applying a gluing result of Sa Earp and Walpuski to instantons over a pair of 7-manifolds with a tubular end. In our example, the moduli spaces of the ingredient instantons are non-trivial, and their images in the moduli space over the asymptotic cross-section K3 surface intersect transversely. Such a pair of asymptotically stable holomorphic bundles is obtained using a twisted version of the Hartshorne-Serre construction, which can be adapted to produce other examples. Moreover, their deformation theory and asymptotic behaviour are explicitly understood, results which may be of independent interest. (AU) | |
| Processo FAPESP: | 14/05733-9 - Geometria de variedades simpléticas irredutíveis |
| Beneficiário: | Grégoire Menet |
| Modalidade de apoio: | Bolsas no Brasil - Pós-Doutorado |
| Processo FAPESP: | 14/24727-0 - G2-instantons sobre somas conexas torcidas |
| Beneficiário: | Henrique Nogueira de Sá Earp |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |