73 citations · 120 across the 28 of their papers we have counts for
33 papers
A Peterson program for general Schubert varieties and mirror symmetry
Changzheng Li, Konstanze Rietsch, Mingzhi Yang
We initiate a `Peterson program' that seeks to extend Dale Peterson's theory for the quantum cohomology of flag varieties to arbitrary Schubert varieties, and that incorporates a m…
Grassmannian quantum cohomology in the infinite limit and total positivity
Ines Chung-Halpern, Konstanze Rietsch
The theory of total positivity was shown by Lusztig to be intrinsically linked to the canonical basis with its positivity properties. When we restrict ourselves to studying total p…
Totally positive Toeplitz matrices: classical and modern
Konstanze Rietsch
By a theorem of Edrei, an infinite, normalised totally nonnegative upper-triangular Toeplitz matrix is determined by a pair of nonnegative parameter sequences, the `Schoenberg para…
Tropical Toeplitz matrices and parametrisations
Konstanze Rietsch
The set of infinite upper-triangular totally positive Toeplitz matrices has a classical parametrisation proved by Edrei et al and originally conjectured by Schoenberg, that involve…
An anticanonical perspective on G/P Schubert varieties
Changzheng Li, Konstanze Rietsch, Mingzhi Yang
We describe a natural basis of the Cartier class group of an arbitrary Schubert variety in a flag variety of general Lie type. We then characterise when the Schuber…
A superpotential for Grassmannian Schubert varieties
Konstanze Rietsch, Lauren Williams
While mirror symmetry for flag varieties and Grassmannians has been extensively studied, Schubert varieties in the Grassmannian are singular, and hence standard mirror symmetry sta…