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• W2985524293 abstract "This thesis develops the deformation theory of instantons on asymptoticallyconical G2-manifolds, where an asymptotic connection at infinity is fixed. Aspinorial approach is adopted to relate the space of deformations to the kernelof a twisted Dirac operator on the G2-manifold and to the eigenvalues of atwisted Dirac operator on the nearly Kahler link. As an application, we usethis framework to study the moduli spaces of known examples of G2-instantonsliving on the Bryant-Salamon manifolds and on R7. We develop two methodsfor determining eigenvalues of twisted Dirac operators on nearly Kahler 6-manifolds and apply this to calculate the virtual dimension of the modulispaces that we study. In the case of the instanton of Gunaydin-Nicolai, whichlives on R7; we show how knowledge of the virtual dimension of the modulispace can be used to study uniqueness properties of this instanton." @default.
• W2985524293 created "2019-11-22" @default.
• W2985524293 creator A5065733525 @default.
• W2985524293 date "2020-06-01" @default.
• W2985524293 modified "2023-09-27" @default.
• W2985524293 title "Deformations of Asymptotically Conical G2-Instantons" @default.
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• W2985524293 hasPublicationYear "2020" @default.
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