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

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Bruzzo U., Markushevich D., Tikhomirov A.

Open Mathematics

2012

tom 10

nr 4

1232-1245

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).

Ograniczanie wyników

1 Open Mathematics

1 Bruzzo U.

1 Markushevich D.

1 Tikhomirov A.

1 2012

Wyniki wyszukiwania

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