Symplectic instanton vector bundles on the projective space P3 constitute a natural generalization of mathematical instantons of rank 2. We study the moduli space In,r of rank-2r symplectic instanton vector bundles on P3 with r ≥ 2 and second Chern class n ≥ r, n ≡ r(mod2). We give an explicit construction of an irreducible component In∗,r of this space for each such value of n and show that In∗,r has the expected dimension 4n(r + 1) − r(2r + 1). © 2012 Versita Warsaw and Springer-Verlag Wien.

Moduli of symplectic instanton vector bundles of higher rank on projective space P3 / Bruzzo, U.; Markushevich, D.; Tikhomirov, A. S.. - In: CENTRAL EUROPEAN JOURNAL OF MATHEMATICS. - ISSN 1895-1074. - 10:(2012), pp. 1232-1245. [10.2478/s11533-012-0062-2]

Moduli of symplectic instanton vector bundles of higher rank on projective space P3

Bruzzo, U.;
2012-01-01

Abstract

Symplectic instanton vector bundles on the projective space P3 constitute a natural generalization of mathematical instantons of rank 2. We study the moduli space In,r of rank-2r symplectic instanton vector bundles on P3 with r ≥ 2 and second Chern class n ≥ r, n ≡ r(mod2). We give an explicit construction of an irreducible component In∗,r of this space for each such value of n and show that In∗,r has the expected dimension 4n(r + 1) − r(2r + 1). © 2012 Versita Warsaw and Springer-Verlag Wien.
2012
10
1232
1245
https://arxiv.org/abs/1109.2292
http://cdsads.u-strasbg.fr/abs/2011arXiv1109.2292B
Bruzzo, U.; Markushevich, D.; Tikhomirov, A. S.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/12885
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