Yasuyuki Nagatomo
Abstract
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A point in the boundary of a moduli space of quatemion ASD connections can be regarded as a singular ASD connection with a particular singular set.In the case of generalized 1 instantons on $HP^{n}$ and $Gr_{2}(C^{n+2})$ , it is proved that Poincar\'e dual of the singular set is the Chem class of the vector bundle.
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A point in the boundary of a moduli space of quatemion ASD connections can be regarded as a singular ASD connection with a particular singular set.In the case of generalized 1 instantons on $HP^{n}$ and $Gr_{2}(C^{n+2})$ , it is proved that Poincar\'e dual of the singular set is the Chem class of the vector bundle.
Key concepts: Mathematics, Ideal (ethics), Poincaré duality, Maple, Duality (order theory), Instanton, Pure mathematics, Dual (grammatical number)