arXiv Open Access 2011

$G_2$-instantons over asymptotically cylindrical manifolds

Henrique N. Sá Earp

Lihat Sumber

Abstrak

A concrete model for a 7-dimensional gauge theory under special holonomy is proposed, within the paradigm outlined by Donaldson and Thomas, over the asymptotically cylindrical G2-manifolds provided by Kovalev's noncompact version of the Calabi conjecture. One obtains a solution to the $G_2$-instanton equation from the associated Hermitian Yang-Mills problem, to which the methods of Simpson et al. are applied, subject to a crucial asymptotic stability assumption over the "boundary at infinity".

Topik & Kata Kunci

math.DG math.AP

Penulis (1)

Henrique N. Sá Earp

Format Sitasi

APA MLA BibTeX

Earp, H.N.S. (2011). $G_2$-instantons over asymptotically cylindrical manifolds. https://arxiv.org/abs/1101.0880

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2011
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓