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

  • Łucja Farnik
  • Davide Frapporti
  • Simone Marchesi
Keywords: Instanton bundles, Orthogonal bundles, Symplectic bundles

Abstract

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}.
Section
Articoli