Deformations of Clarke-Oliveira's Instantons on Bryant-Salamon $Spin(7)$-Manifold
Differential Geometry
2025-04-14 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
In this paper we compute the deformations of Clarke-Oliveira's instantons on the Bryant-Salamon -Manifold. The Bryant-Salamon -Manifold -- the negative spinor bundle of -- is an asymptotically conical manifold where the link is the squashed -sphere. We use the deformation theory developed by the author in a previous paper to calculate the deformations of Clarke-Oliveira's instantons and calculate the virtual dimensions of the moduli spaces.
Cite
@article{arxiv.2504.08723,
title = {Deformations of Clarke-Oliveira's Instantons on Bryant-Salamon $Spin(7)$-Manifold},
author = {Tathagata Ghosh},
journal= {arXiv preprint arXiv:2504.08723},
year = {2025}
}
Comments
28 pages