Schubert Geometry of Flag Varieties and Gelfand-Cetlin Theory

By Mikhail Kogan. 2000

51 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/b7c1589db7eb6dba72aca4fa0baead2270d38664

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

1. Alexander Yong
2. Allen Knutson
3. Ezra Miller
4. Alexander Postnikov
5. Richard P. Stanley
6. Thomas Lam
7. Federico Ardila
8. David E. Speyer

Citations in the corpus

• Chains in the Bruhat order (2005, methodology): “This expression can be geometrically interpreted in terms of generalized Gelfand-Tsetlin polytopes Pλ,w studied by Kogan [Kog].”
• Gröbner geometry of vertex decompositions and of flagged tableaux (2005, background): “This generalizes the bijection between (ordinary) semistandard Young tableaux and reduced pipe dreams for Grassmannian permutations (Proposition 5.3, below), which we learned from Kogan [Kog] (on the other hand, see Example 5.10).”