Mukai duality applied fibre-by-fibre produces a canonical dual Donaldson adiabatic fibration for K3-fibred G2 manifolds, and a Nahm transform maps twisted G2 instantons between the two sides.
Mukai duality on K3 surfaces from the differential geometric perspective
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abstract
This paper treats the theory of Mukai duality on K3 surfaces from the differential geometric perspective, taylored to the need of the author's companion paper about Mukai duality of adiabatic coassociative K3 fibrations.
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math.DG 1years
2019 1verdicts
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Mukai duality on adiabatic coassociative fibrations
Mukai duality applied fibre-by-fibre produces a canonical dual Donaldson adiabatic fibration for K3-fibred G2 manifolds, and a Nahm transform maps twisted G2 instantons between the two sides.