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

Alain Lascoux·Piotr Pragacz
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Abstract

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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Alain Lascoux, Piotr Pragacz. 1999-08-10. Schur Q-functions and degeneracy locus formulas for morphisms with symmetries. https://arxiv.org/abs/math/9901126

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