The totally nonnegative part of G/P is a ball
Pavel Galashin, Steven N. Karp, Thomas Lam
TL;DR
This paper proves that the totally nonnegative part of a partial flag variety is topologically equivalent to a closed ball, revealing a simple geometric structure.
Contribution
It establishes that the totally nonnegative part of G/P is homeomorphic to a closed ball, providing new geometric insight into Lusztig's theory.
Findings
The totally nonnegative part of G/P is homeomorphic to a closed ball.
This result clarifies the topological structure of Lusztig's nonnegative parts.
The paper offers a new geometric perspective on partial flag varieties.
Abstract
We show that the totally nonnegative part of a partial flag variety (in the sense of Lusztig) is homeomorphic to a closed ball.
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