Torus orbit closures in the flag variety
Abstract
The study of torus orbit closures in the (complete) flag variety was initiated by Klyachko and Gelfand–Serganova in the mid-1980s. In this chapter, we present some of the work by Klyachko and Gelfand–Serganova and our recent work on the topology, geometry, and combinatorics of torus orbit closures in the flag variety.
Fields of Study & Subjects
Mathematical Dynamics and Fractals
Geometric and Algebraic Topology
Advanced Combinatorial Mathematics
Publication details
- Pages
- 431–511
- Publication date
- 29 May 2026
- Language
- EN
- Document type
- Book chapter