The totally nonnegative part of G/P is a ball
arXiv:1801.08953 · doi:10.1016/j.aim.2019.05.009
Abstract
We show that the totally nonnegative part of a partial flag variety (in the sense of Lusztig) is homeomorphic to a closed ball.
6 pages. v2: Proof of Lemma 1 moved to arXiv:1707.02010. v3: Minor changes
References in corpus (1)
Cited by in corpus (7)
- The totally nonnegative Grassmannian is a ball
- Regularity theorem for totally nonnegative flag varieties
- Ising model and the positive orthogonal Grassmannian
- Gradient flows, adjoint orbits, and the topology of totally nonnegative flag varieties
- Spaces of Lorentzian and real stable polynomials are Euclidean balls
- Fibers of maps to totally nonnegative spaces
- Boundary measurement and sign variation in real projective space