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DOUBLE THETA POLYNOMIALS AND EQUIVARIANT GIAMBELLI FORMULAS
EQUIVARIANT GIAMBELLI FORMULAS DOUBLE THETA POLYNOMIALS
2015/12/17
We use Young’s raising operators to introduce and study double
theta polynomials, which specialize to both the theta polynomials of Buch,
Kresch, and Tamvakis, and to double (or factorial) Schur S-p...
DOUBLE SCHUBERT POLYNOMIALS AND DEGENERACY LOCI FOR THE CLASSICAL GROUPS
DOUBLE SCHUBERT POLYNOMIALS DEGENERACY LOCI
2015/12/17
We propose a theory of double Schubert polynomials Pw(X;Y )
for the Lie types B, C, D which naturally extends the family of Lascoux and
Schutzen Ä berger in type A. These polynomials satisfy po...
Fulton's universal Schubert polynomials [F3] represent degeneracy loci for morphisms of vector bundles with rank conditions coming from a
permutation.
STABLE GROTHENDIECK POLYNOMIALS AND K-THEORETIC FACTOR SEQUENCES
STABLE GROTHENDIECK POLYNOMIALS K-THEORETIC FACTOR
2015/12/17
We formulate a nonrecursive combinatorial rule for the expansion
of the stable Grothendieck polynomials of [Fomin-Kirillov '94] in the basis of
stable Grothendieck polynomials for partitions. This g...
SCHUBERT POLYNOMIALS AND ARAKELOV THEORY OF SYMPLECTIC FLAG VARIETIES
SCHUBERT POLYNOMIALS ARAKELOV THEORY
2015/12/17
Let X = Sp2n/B the flag variety of the symplectic group. We
propose a theory of combinatorially explicit Schubert polynomials which represent the Schubert classes in the Borel presentation of t...
Computation of the highest coefficients of weighted Ehrhart quasi-polynomials of rational polyhedra
coefficients weighted Ehrhart quasi-polynomials rational polyhedra
2010/11/12
This article concerns the computational problem of counting the lattice points inside convex polytopes, when each point must be counted with a weight associated to it. We describe an efficient algori...
The multicomponent 2D Toda hierarchy: generalized matrix orthogonal polynomials, multiple orthogonal polynomials and Riemann--Hilbert problems
multi-component 2D Toda hierarchy orthogonal polynomials Riemann--Hilbert problems
2010/4/7
We consider the relation of the multi-component 2D Toda hierarchy with matrix orthogonal and biorthogonal polynomials. The multi-graded Hankel reduction of this hierarchy is considered and the corresp...