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

Ugo Bruzzo; Dimitri Markushevich; Alexander Tikhomirov

Open Mathematics (2012)

- Volume: 10, Issue: 4, page 1232-1245
- ISSN: 2391-5455

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topUgo Bruzzo, Dimitri Markushevich, and Alexander Tikhomirov. "Moduli of symplectic instanton vector bundles of higher rank on projective space ℙ3." Open Mathematics 10.4 (2012): 1232-1245. <http://eudml.org/doc/269108>.

@article{UgoBruzzo2012,

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 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).},

author = {Ugo Bruzzo, Dimitri Markushevich, Alexander Tikhomirov},

journal = {Open Mathematics},

keywords = {Vector bundles; Symplectic bundles; Instantons; Moduli space; vector bundles; symplectic bundles; instantons; moduli space},

language = {eng},

number = {4},

pages = {1232-1245},

title = {Moduli of symplectic instanton vector bundles of higher rank on projective space ℙ3},

url = {http://eudml.org/doc/269108},

volume = {10},

year = {2012},

}

TY - JOUR

AU - Ugo Bruzzo

AU - Dimitri Markushevich

AU - Alexander Tikhomirov

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

JO - Open Mathematics

PY - 2012

VL - 10

IS - 4

SP - 1232

EP - 1245

AB - 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).

LA - eng

KW - Vector bundles; Symplectic bundles; Instantons; Moduli space; vector bundles; symplectic bundles; instantons; moduli space

UR - http://eudml.org/doc/269108

ER -

## References

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