Vol. 6, No. 4, 2012

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Degeneracy of triality-symmetric morphisms

Dave Anderson

Vol. 6 (2012), No. 4, 689–706
Abstract

We define a new symmetry for morphisms of vector bundles, called triality symmetry, and compute Chern class formulas for the degeneracy loci of such morphisms. In an appendix, we show how to canonically associate an octonion algebra bundle to any rank-$2$ vector bundle.

Keywords
degeneracy locus, triality, octonions, equivariant cohomology
Mathematical Subject Classification 2010
Primary: 14M15
Secondary: 14F43, 14N15, 20G99, 17A75