#### 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
##### Milestones
Received: 27 September 2010
Revised: 10 June 2011
Accepted: 13 August 2011
Published: 25 July 2012
##### Authors
 Dave Anderson Department of Mathematics University of Michigan Ann Arbor, MI 48109 United States Department of Mathematics University of Washington Seattle, WA 98195 United States