Symplectic instanton vector bundles on the projective space ℙ3 constitute a natural generalization of mathematical instantons of rank-2. We study the moduli space I n;r of rank-2r symplectic instanton vector bundles on ℙ3 with r ≥ 2 and second Chern class n ≥ r, n ≡ r (mod 2). 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).
@article{bwmeta1.element.doi-10_2478_s11533-012-0062-2,
author = {Ugo Bruzzo and Dimitri Markushevich and Alexander Tikhomirov},
title = {Moduli of symplectic instanton vector bundles of higher rank on projective space P3},
journal = {Open Mathematics},
volume = {10},
year = {2012},
pages = {1232-1245},
zbl = {1282.14020},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0062-2}
}
Ugo Bruzzo; Dimitri Markushevich; Alexander Tikhomirov. Moduli of symplectic instanton vector bundles of higher rank on projective space ℙ3. Open Mathematics, Tome 10 (2012) pp. 1232-1245. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0062-2/
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