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

• Autorzy: Ugo Bruzzo , Dimitri Markushevich , Alexander Tikhomirov
• Języki publikacji: EN

Abstrakty

EN

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).

Słowa kluczowe

EN

Vector bundles; Symplectic bundles; Instantons; Moduli space

Kategorie tematyczne

• 14F05: Sheaves, derived categories of sheaves and related constructions
• 14D20: Algebraic moduli problems, moduli of vector bundles

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2012
• Tom: 10
• Numer: 4
• Strony: 1232-1245

Daty

wydano

2012-08-01

online

2012-05-31

Twórcy

autor

Ugo Bruzzo

autor

Dimitri Markushevich

• Université Lille 1

autor

Alexander Tikhomirov

• Yaroslavl State Pedagogical University

Bibliografia

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• [9] McCarthy P.J., Rational parametrisation of normalised Stiefel manifolds, and explicit non-’t Hooft solutions of the Atiyah-Drinfeld-Hitchin-Manin instanton matrix equations for Sp(n), Lett. Math. Phys., 1981, 5(4), 255–261 http://dx.doi.org/10.1007/BF00401473
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Identyfikatory

DOI

10.2478/s11533-012-0062-2