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arxiv: 0912.2292 · v1 · submitted 2009-12-11 · 🧮 math.AG

On the non-existence of orthogonal instanton bundles on P^(2N+1)

classification 🧮 math.AG
keywords instantonbundlesorthogonalbundlecostademonstrateexistfact
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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) .

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