How many simplices are needed to triangulate a Grassmannian?

DOI10.12775/TMNA.2020.027zbMath1483.57030arXiv2001.08292OpenAlexW3111532347MaRDI QIDQ2236456

Petar Pavešić, Wacław Marzantowicz, Dejan Govc

Publication date: 25 October 2021

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.08292

zbMATH Keywords

Grassmann manifoldminimal triangulationlower bound theoremcup-lengthmanifold \(g\)-theorem

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Grassmannians, Schubert varieties, flag manifolds (14M15) Triangulating manifolds (57Q15) Polyhedral manifolds (52B70)

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Computing persistent Stiefel-Whitney classes of line bundles ⋮ Approximate and discrete Euclidean vector bundles ⋮ Estimates of covering type and minimal triangulations based on category weight ⋮ On the number of simplices required to triangulate a Lie group ⋮ Topological complexity of real Grassmannians

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