Symplectic instanton bundles on P3 and 't Hooft instantons
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Date
2013-12
Journal Title
Journal ISSN
Volume Title
Publisher
arXiv:1312.5554 [math.AG]
Abstract
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.
Description
This preprint has been published with the title "Moduli of symplectic instanton vector bundles of higher rank on projective space P-3 " in CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, Volume: 10, issue 4, Augst 2012, pages 1232-1245.
Keywords
Vector bundles, Symplectic bundles, Instantons, Moduli space