Locally convex curves and the Bruhat stratification of the spin group
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Publication:2040204
DOI10.1007/s11856-021-2127-zzbMath1479.14063arXiv1904.04799OpenAlexW3159759628MaRDI QIDQ2040204
Victor Goulart, Nicolau C. Saldanha
Publication date: 12 July 2021
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.04799
Coxeter groupsymmetry groupBruhat stratificationslocally convex curvesSchubert stratificationssigned Bruhat cells
Covering spaces and low-dimensional topology (57M10) Grassmannians, Schubert varieties, flag manifolds (14M15) Stratifications in topological manifolds (57N80)
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Stratification of spaces of locally convex curves by itineraries ⋮ Finiteness of rank for Grassmann convexity ⋮ Grassmann convexity and multiplicative Sturm theory, revisited
Cites Work
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- Symplectic leaves of the Gel'fand-Dikij brackets and homotopy classes of nondegenerate curves
- A survey of total positivity
- Rhombic tilings of polygons and classes of reduced words in Coxeter groups
- Combinatorics and total positivity
- Parametrizations of canonical bases and totally positive matrices
- The homotopy type of spaces of locally convex curves in the sphere
- Lie algebra cohomology and generalized Schubert cells
- Results on the homotopy type of the spaces of locally convex curves on $\mathbb{S}^3$
- Clifford modules
- Nondegenerate homotopies of curves on the unit 2-sphere
- PROJECTIVE CONVEXITY IN ℙ3 IMPLIES GRASSMANN CONVEXITY
- Combinatorics of Coxeter Groups
- Désingularisation des variétés de Schubert généralisées
- Double Bruhat cells and total positivity
- SCHUBERT CELLS AND COHOMOLOGY OF THE SPACESG/P
- POSITIVE GRASSMANNIAN AND POLYHEDRAL SUBDIVISIONS
- Spaces of Locally Convex Curves in S^n and Combinatorics of the Group B_(n+1)^+
- Structure of certain induced representations of complex semisimple Lie algebras
- Totally positive matrices
- Total positivity: tests and parametrizations.