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Thom polynomials and Schur functions I
Piotr Pragacz
We give the Thom polynomials for the singularities I_2,2 and A_3 associated with maps (C^n,0) -> (C^{n+k},0) with parameter k>=0. We give the Schur function expansions of these Tho…
Orthogonal divided differences and Schubert polynomials, P-functions, and vertex operators
Alain Lascoux, Piotr Pragacz
We give several new formulas which are useful for Schubert Calculus associated with the orthogonal groups and related orthogonal degeneracy loci.
Restricting Schubert classes
Piotr Pragacz
Let V be a 2n-dimensional complex symplectic space. Let G' be the Lagrangian Grassmannian of maximal isotropic subspaces of V embedded via the inclusion i into the Grassmannian G o…
Schur Q-functions and degeneracy locus formulas for morphisms with symmetries
Alain Lascoux, Piotr Pragacz
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…
Characteristic Classes of Hypersurfaces and Characteristic Cycles
Adam Parusinski, Piotr Pragacz
We give a new formula for the Chern-Schwartz-MacPherson class of a hypersurface in a nonsigular compact complex analytic variety. In particular this formula generalizes our previou…