@article {2013,
title = {Symplectic instanton bundles on P3 and {\textquoteright}t Hooft instantons},
year = {2013},
note = {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.},
institution = {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 {\textquoteright}t Hooft instantons.},
url = {http://urania.sissa.it/xmlui/handle/1963/34486},
author = {Ugo Bruzzo and Dimitri Markushevich and Alexander Tikhomirov}
}
@article {2011,
title = {Moduli of symplectic instanton vector bundles of higher rank on projective space $\\mathbb{P}^3$},
journal = {Central European Journal of Mathematics 10, nr. 4 (2012) 1232},
number = {arXiv:1109.2292v1;},
year = {2012},
note = {14 pages},
publisher = {SISSA},
abstract = {Symplectic instanton vector bundles on the projective space $\\mathbb{P}^3$ 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 $\\mathbb{P}^3$ with $r\\ge2$ and second Chern class $n\\ge r,\\ n\\equiv r({\\rm mod}2)$. We give an explicit construction of an irreducible component $I^*_{n,r}$ of this space for each such value of $n$ and show that $I^*_{n,r}$ has the expected dimension $4n(r+1)-r(2r+1)$.},
doi = {10.2478/s11533-012-0062-2},
url = {http://hdl.handle.net/1963/4656},
author = {Ugo Bruzzo and Dimitri Markushevich and Alexander Tikhomirov}
}
@article {2010,
title = {Uhlenbeck-Donaldson compactification for framed sheaves on projective surfaces},
number = {SISSA;59/2010/FM},
year = {2010},
abstract = {We construct a compactification $M^{\\\\mu ss}$ of the Uhlenbeck-Donaldson type for the moduli space of slope stable framed bundles. This is a kind of a moduli space of slope semistable framed sheaves. We show that there exists a projective morphism $\\\\gamma \\\\colon M^s \\\\to M^{\\\\mu ss}$, where $M^s$ is the moduli space of S-equivalence classes of Gieseker-semistable framed sheaves. The space $M^{\\\\mu ss}$ has a natural set-theoretic stratification which allows one, via a Hitchin-Kobayashi correspondence, to compare it with the moduli spaces of framed ideal instantons.},
url = {http://hdl.handle.net/1963/4049},
author = {Ugo Bruzzo and Dimitri Markushevich and Alexander Tikhomirov}
}