Schur Q-functions and degeneracy locus formulas for morphisms with symmetries

Details Schur Q-functions and degeneracy locus formulas for morphisms with symmetries Schur Q-functions and degeneracy locus formulas for morphisms with symmetries

1999-01-27

arxiv.org/abs/math/9901126v2

Mathematics

Algebraic Geometry

22 pages, AMSTEX, misprints corrected, exposition improved. to appear in the Proceedings of Intersection Theory Conference in

Scientific paper

We give closed-form formulas for the fundamental classes of degeneracy loci
associated with vector bundle maps given locally by (not necessary square)
matrices which are symmetric (resp. skew-symmetric) w.r.t. the main diagonal.
Our description uses essentially Schur Q-polynomials of a bundle, and is based
on a certain push-forward formula for these polynomials in a Grassmann bundle.

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