Vol. 6, No. 4, 2012

Download this article
Download this article For screen
For printing
Recent Issues

Volume 18
Issue 10, 1767–1943
Issue 9, 1589–1766
Issue 8, 1403–1587
Issue 7, 1221–1401
Issue 6, 1039–1219
Issue 5, 847–1038
Issue 4, 631–846
Issue 3, 409–629
Issue 2, 209–408
Issue 1, 1–208

Volume 17, 12 issues

Volume 16, 10 issues

Volume 15, 10 issues

Volume 14, 10 issues

Volume 13, 10 issues

Volume 12, 10 issues

Volume 11, 10 issues

Volume 10, 10 issues

Volume 9, 10 issues

Volume 8, 10 issues

Volume 7, 10 issues

Volume 6, 8 issues

Volume 5, 8 issues

Volume 4, 8 issues

Volume 3, 8 issues

Volume 2, 8 issues

Volume 1, 4 issues

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Editors' interests
 
Subscriptions
 
ISSN 1944-7833 (online)
ISSN 1937-0652 (print)
 
Author index
To appear
 
Other MSP journals
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