Classification of real Bott manifolds and acyclic digraphs

DOI10.1090/tran/6896zbMath1368.37053arXiv1006.4658OpenAlexW1649357786MaRDI QIDQ2951926

Suyoung Choi, Mikiya Masuda, Sang-il Oum

Publication date: 10 January 2017

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.4658

zbMATH Keywords

local complementationacyclic digraphtoral rank conjecturereal toric manifoldflat Riemannian manifold

Mathematics Subject Classification ID

Applications of graph theory (05C90) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Combinatorics and topology in relation with holomorphic dynamical systems (37F20)

Related Items (18)

Classification of Bott towers by matrix ⋮ Cohomological rigidity for Fano Bott manifolds ⋮ Classification of real Bott manifolds and acyclic digraphs ⋮ Cohomological rigidity of manifolds defined by 3-dimensional polytopes ⋮ Cohomological rigidity and the number of homeomorphism types for small covers over prisms ⋮ Properties of Bott manifolds and cohomological rigidity ⋮ On the \(S^1\)-fibred nilBott tower ⋮ On free \(\mathbb Z_p\)-torus actions in dimensions two and three ⋮ Flat manifolds with holonomy group \(\mathbb{Z}_{2}^{k}\) of diagonal type ⋮ Symplectic real Bott manifolds ⋮ A note on small covers over cubes ⋮ Results on the topology of generalized real Bott manifolds ⋮ Unnamed Item ⋮ Rigidity problems in toric topology: a survey ⋮ On the topology of real Bott manifolds ⋮ Orientable hyperbolic 4-manifolds over the 120-cell ⋮ Cohomological rigidity of the connected sum of three real projective spaces ⋮ Uniqueness of the direct decomposition of toric manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Diffeomorphism classes of real Bott manifolds
• The number of small covers over cubes
• Cohomological rigidity of real Bott manifolds
• Bott towers, complete integrability, and the extended character of representations
• Compact flat Riemannian manifolds. I
• Directed graph representation of half-rate additive codes over \(\text{GF}(4)\)
• Properties of Bott manifolds and cohomological rigidity
• Approximating clique-width and branch-width
• Injective operations of the toral groups
• Rank-width and vertex-minors
• Classification of real Bott manifolds and acyclic digraphs
• Symplectic real Bott manifolds
• Digraph Decompositions and Eulerian Systems
• Semifree circle actions, Bott towers and quasitoric manifolds

This page was built for publication: Classification of real Bott manifolds and acyclic digraphs