133 citations · 554 across the 117 of their papers we have counts for
4 papers · 1 filter
Two Murnaghan-Nakayama rules in Schubert calculus
Andrew Morrison, Frank Sottile
The Murnaghan-Nakayama rule expresses the product of a Schur function with a Newton power sum in the basis of Schur functions. We establish a version of the Murnaghan-Nakayama rule…
Equivariant cohomology theories and the pattern map
Praise Adeyemo, Frank Sottile
Billey and Braden defined a geometric pattern map on flag manifolds which extends the generalized pattern map of Billey and Postnikov on Weyl groups. The interaction of this torus…
Software for the Gale transform of fewnomial systems and a Descartes rule for fewnomials
Daniel J. Bates, Jonathan D. Hauenstein, Matthew E. Niemerg +1
We give a Descartes'-like bound on the number of positive solutions to a system of fewnomials that holds when its exponent vectors are not in convex position and a sign condition i…
A lifted square formulation for certifiable Schubert calculus
Nickolas Hein, Frank Sottile
Formulating a Schubert problem as the solutions to a system of equations in either Plücker space or in the local coordinates of a Schubert cell usually involves more equations than…