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arXiv · 2504.08723

Deformations of Clarke-Oliveira's Instantons on Bryant-Salamon $Spin(7)$-Manifold

Tathagata Ghosh
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Abstract

In this paper we compute the deformations of Clarke-Oliveira's instantons on the Bryant-Salamon $Spin(7)$-Manifold. The Bryant-Salamon $Spin(7)$-Manifold -- the negative spinor bundle of $S^4$ -- is an asymptotically conical manifold where the link is the squashed $7$-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.

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BibTeXRIS

Tathagata Ghosh. 2025-04-11. Deformations of Clarke-Oliveira's Instantons on Bryant-Salamon $Spin(7)$-Manifold. https://arxiv.org/abs/2504.08723

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