Degeneracy of triality-symmetric morphisms

Anderson, Dave

doi:10.2140/ant.2012.6.689

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Degeneracy of triality-symmetric morphisms

Dave Anderson

Vol. 6 (2012), No. 4, 689–706

DOI: 10.2140/ant.2012.6.689

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

Vol. 6, No. 4, 2012