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- W3123427955 abstract "Motivated by gauge theory under special holonomy, we present techniques to produce holomorphic bundles over certain noncompact $3-$folds, called building blocks, satisfying a stability condition `at infinity'. Such bundles are known to parametrise solutions of the Yang-Mills equation over the $rm G_2-$manifolds obtained from asymptotically cylindrical Calabi-Yau $3-$folds studied by Kovalev and by Corti-Haskins-Nordstrom-Pacini et al. The most important tool is a generalisation of Hoppe's stability criterion to holomorphic bundles over smooth projective varieties $X$ with $operatorname{Pic}{X}simeqmathbb{Z}^l$, a result which may be of independent interest. Finally, we apply monads to produce a prototypical model of the curvature blow-up phenomenon along a sequence of asymptotically stable bundles degenerating into a torsion-free sheaf." @default.
- W3123427955 created "2021-02-01" @default.
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- W3123427955 date "2017-01-17" @default.
- W3123427955 modified "2023-10-15" @default.
- W3123427955 title "Holomorphic bundles for higher dimensional gauge theory" @default.
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- W3123427955 doi "https://doi.org/10.1112/blms.12017" @default.
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