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Symplectic instanton bundles on P3 and 't Hooft instantons

TitleSymplectic instanton bundles on P3 and 't Hooft instantons
Publication TypePreprint
2013
AuthorsBruzzo, U, Markushevich, D, Tikhomirov, A
InstitutionarXiv:1312.5554 [math.AG]

We introduce the notion of tame symplectic instantons by excluding a kind of pathological monads and show that the locus $I^*_{n,r}$ of tame symplectic instantons is irreducible and has the expected dimension, equal to $4n(r+1)-r(2r+1)$. The proof is inherently based on a relation between the spaces $I^*_{n,r}$ and the moduli spaces of 't Hooft instantons.

http://urania.sissa.it/xmlui/handle/1963/34486

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