Regularity theorem for totally nonnegative flag varieties

نویسندگان

چکیده

We show that the totally nonnegative part of a partial flag variety $G/P$ (in sense Lusztig) is regular CW complex, confirming conjecture Williams. In particular, closure each positroid cell inside Grassmannian homeomorphic to ball, Postnikov.

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ژورنال

عنوان ژورنال: Journal of the American Mathematical Society

سال: 2021

ISSN: ['0894-0347', '1088-6834']

DOI: https://doi.org/10.1090/jams/983