Generalized ADHM-construction on Wolf spaces (Q2715746)

The author reinterprets ASD (anti self-dual) bundles in terms of representation theory of compact Lie groups and generalizes the method of monad (ADHM-construction) to the Wolf spaces. He states the classification of irreducible homogeneous bundles with canonical ASD connections obtained by him previously and constructs examples of non-homogeneous ASD-bundles on the Wolf spaces. Many examples constructed in the paper include examples constructed previously by Mamone Capria and Salamon. The author describes the moduli spaces of ASD connections via the theory of monad and Bott-Borel-Weil theorem and studies the ASD connections with a singular set that correspond to boundary points of the moduli space.NEWLINENEWLINEFor the entire collection see [Zbl 0958.00032].