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math.DG2019★ 1 cited
The Kapustin--Witten equations on ALE and ALF gravitational instantons
Ákos Nagy, Gonçalo Oliveira
We study solutions to the Kapustin--Witten equations on ALE and ALF gravitational instantons. On any such space and for any compact structure group, we prove asymptotic estimates f…
math.DG2019
The Haydys monopole equation
Ákos Nagy, Gonçalo Oliveira
We study complexified Bogomolny monopoles using the complex linear extension of the Hodge star operator; these monopoles can be interpreted as solutions to the Bogomolny equation w…