Abstract

We give a scheme-theoretic description of μ − 1 ( 0 ) and μ − 1 ( 0 ) / / Sp ( 2 ) , where μ is the moment map defining the space of ADHM data associated to framed SO ( 3 , R ) -instantons with instanton number 1 . The irreducible component in μ − 1 ( 0 ) / / Sp ( 2 ) , other than the Zariski closure of the instanton moduli space, is non-reduced, which is a corrigendum to [Choy (2016), Theorem 4.3]. We further describe this component using the factorization property Braverman et al. (2006).

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