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- W830820976 abstract "We introduce a method to construct $G_2$-instantons over compact $G_2$-manifolds arising as the twisted connected sum of a matching pair of building blocks [Kov03,KL11,CHNP12]. Our construction is based on gluing $G_2$-instantons obtained from holomorphic bundles over the building blocks via the first named author's work [SE11]. We require natural compatibility and transversality conditions which can be interpreted in terms of certain Lagrangian subspaces of a moduli space of stable bundles on a K3 surface." @default.
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- W830820976 date "2015-05-21" @default.
- W830820976 modified "2023-09-30" @default.
- W830820976 title "G<sub>2</sub>–instantons over twisted connected sums" @default.
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- W830820976 doi "https://doi.org/10.2140/gt.2015.19.1263" @default.
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