Torus orbit closures in the flag variety

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.

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Publication Details

Published
2026-05-29
DOI
https://doi.org/10.1201/9781003145127-4
Primary Topic
Mathematical Dynamics and Fractals
Type
preprint
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preprint

Torus orbit closures in the flag variety

Mikiya Masuda, Eunjeong Lee, Seonjeong Park
Mathematical Dynamics and Fractals
preprint

Torus orbit closures in the flag variety

Mikiya Masuda, Eunjeong Lee, Seonjeong Park
preprint en

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.

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Mathematical Dynamics and Fractals
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