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math.DG2025
All toric Hermitian ALE gravitational instantons
Bernardo Araneda, James Lucietti
We prove that the only smooth, Ricci flat, ALE gravitational instanton with a toric Hermitian non-Kähler structure is the Eguchi-Hanson instanton. The proof is analogous to the cla…
gr-qc2025
Charges, complex structures, and perturbations of instantons
Lars Andersson, Bernardo Araneda
Hermitian non-Kähler Einstein 4-manifolds have a quasi-locally conserved charge associated to spin-lowering via Killing spinors, and corresponding to a parameter of the moduli spac…