Lectures on the geometry of flag varieties
read the original abstract
These notes are the written version of my lectures at the Banach Center mini-school "Schubert Varieties" in Warsaw, May 18-22, 2003. Their aim is to give a self-contained exposition of some geometric aspects of Schubert calculus.
This paper has not been read by Pith yet.
Forward citations
Cited by 5 Pith papers
-
Newton--Okounkov bodies of partial flag varieties via cluster algebras
Constructs Newton-Okounkov polytopes of Schubert varieties in partial flag varieties via cluster algebras on unipotent cells and proves infinitely many nonequivalent polytopes exist in infinite-type cases, yielding in...
-
Schubert line defects in 3d GLSMs, part II: Partial flag manifolds and parabolic quantum polynomials
Schubert line defects in 3d GLSMs for partial flag manifolds reproduce parabolic Whitney polynomials for Schubert classes in quantum K-theory and yield new parabolic quantum Grothendieck polynomials.
-
Schubert line defects in 3d GLSMs, part I: Complete flag manifolds and quantum Grothendieck polynomials
Schubert line defects in 3d GLSMs for complete flag manifolds are realized as SQM quivers whose indices give quantum Grothendieck polynomials and restrict the target space to Schubert varieties.
-
On the Schubert calculus of the quantum K-theory for partial flag manifolds: a 3d A-model perspective
Computes 2- and 3-point functions of Schubert line defects in 3d A-model for partial flag manifolds Fl(k;n) to obtain K-theoretic Littlewood-Richardson coefficients, with small-beta limit recovering 2d quantum cohomology.
-
Non-K\"ahler metrics on complex manifolds of LVMB type
Derives characteristic class formula for LVMB bundles over toric bases and establishes obstructions plus a new example for balanced metrics, with SKT characterization on LVM manifolds.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.