29 citations · 141 across the 27 of their papers we have counts for
38 papers
Integral equivariant cohomology of affine Grassmannians
David Anderson
We give explicit presentations of the integral equivariant cohomology of the affine Grassmannians and flag varieties in type A, arising from their natural embeddings in the corresp…
Strong equivariant positivity for homogeneous varieties and back-stable coproduct coefficients
David Anderson
Using a transversality argument, we demonstrate the positivity of certain coefficients in the equivariant cohomology and K-theory of a generalized flag manifold. This strengthens e…
The multiplicity of a singularity in a vexillary Schubert variety
David Anderson, Takeshi Ikeda, Minyoung Jeon +1
In a classical-type flag variety, we consider a Schubert variety associated to a vexillary (signed) permutation, and establish a combinatorial formula for the Hilbert-Samuel multip…
Infinite flags and Schubert polynomials
David Anderson
We study Schubert polynomials using geometry of infinite-dimensional flag varieties and degeneracy loci. Applications include Graham-positivity of coefficients appearing in equivar…
Identities for Schur-type determinants and pfaffians
David Anderson, William Fulton
We give a simple formula for some determinants, and an analogous formula for pfaffians, both of which are polynomial identities. The second involve some expressions that interpolat…
Schubert Polynomials in Types A and C
David Anderson, William Fulton
Enriched versions of type A Schubert polynomials are constructed with coefficients in a polynomial ring in variables . Specializing these variables to recover…