Corpus ID: 115157604

On the non-existence of orthogonal instanton bundles on P^{2n+1}

@article{Farnik2009OnTN,
  title={On the non-existence of orthogonal instanton bundles on P^\{2n+1\}},
  author={L. Farnik and Davide Frapporti and S. Marchesi},
  journal={Le Matematiche},
  year={2009},
  volume={64},
  pages={81-90}
}
In this paper we prove that there do not exist orthogonal instanton bundles on P ^{2n+1} . In order to demonstrate this fact, we propose a new way of representing the invariant, introduced by L. Costa and G. Ottaviani, related to a rank 2n instanton bundle on P ^{2n+1}. 
2 Citations
Moduli of autodual instanton bundles
  • 5
  • PDF
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  • PDF

References

SHOWING 1-10 OF 10 REFERENCES
Nondegenerate multidimensional matrices and instanton bundles
  • 38
  • Highly Influential
  • PDF
Group Action on Instanton Bundles over ℙ3
  • 4
Mathematical instanton bundles on P2n+1
  • 50
  • PDF
Construction of Instantons
  • 1,159
Stability of special instanton bundles on ²ⁿ⁺¹
  • 54
  • PDF
and A
  • Pi zzotti. Mathematical instanton bundles on projective spaces: an algorit hmic approach. Differential operators and mathematical physics. Papers o f the colloquium, Coimbra, Portugal, June 19-22. Coimbra: Universidade de Co imbra, Departamento de Matematica. Textos Mat. Ser. B , 24(1–3):143–159
  • 2000
I fibrati istantoni sugli spazi proiettivi
  • Teoria, metodi a lgoritmici e risultati sperimentali . Volumi INdAM. Aracne, Rome
  • 1996
Mathe - matical instanton bundles on projective spaces : an algorithmic approach . Differential operators and mathematical physics Stability of special instanto bundles on P 2 n + 1
  • Trans . Amer . Math . Soc .
  • 1994
Special instanton bundles on ℙ2N+1, their geometry and their moduli
  • 35
and Yu
  • Manin. Constr uction of instantons.Phys. Lett. , 65A:185–187
  • 1978