Nondegenerate multidimensional matrices and instanton bundles

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

In this note we prove that the moduli space of rank $2n$ symplectic instanton bundles on ${\PP^{2n+1}}$, defined from the well known monad condition, is affine. This result was not known even in the case $n=1$, where the real instanton bundles correspond to self dual Yang Mills $Sp(1)$-connections over the 4-dimensional sphere. The result is proved as a consequence of the existence of an invariant of the multidimensional matrices representing the instanton bundles.
9 pages, Latex 2e

Keywords

Algebraic Geometry, 14D21, 14J60, 15A72

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/61081

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0103078
 http://arxiv.org/abs/math/0103078

Collections

arXiv