634 vertex-transitive and more than \(10^{103}\) non-vertex-transitive 27-vertex triangulations of manifolds like the octonionic projective plane

DOI10.4213/im9489eMaRDI QIDQ6568707

A. A. Gaifullin

Publication date: 8 July 2024

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

zbMATH Keywords

combinatorial manifoldminimal triangulationoctonionic projective planeBrehm-Kühnel triangulationsKühnel triangulationmanifold like projective planevertex-transitive triangulation

Mathematics Subject Classification ID

Triangulating manifolds (57Q15) Combinatorial aspects of simplicial complexes (05E45) Discrete Morse theory and related ideas in manifold topology (57Q70)

Cites Work

• Title not available (Why is that?)
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• On \(k\)-stellated and \(k\)-stacked spheres
• The unique 3-neighborly 4-manifold with few vertices
• Configuration spaces, bistellar moves, and combinatorial formulae for the first Pontryagin class
• Unflippable tetrahedral complexes
• On manifolds homeomorphic to the 7-sphere
• The 9-vertex complex projective plane
• Elementary abelian p-subgroups of algebraic groups
• 15-vertex triangulations of an 8-manifold
• A minimal triangulation of complex projective plane admitting a chess colouring of four-dimensional simplices
• A topological approach to evasiveness
• Konstruktionsmethoden und das kombinatorische Homöomorphieproblem für Triangulationen kompakter semilinearer Mannigfaltigkeiten. (Methods of constructions and the combinatorical homeomorphism problem for triangulations of compact semilinear manifolds)
• Manifolds which are like projective planes
• Finite commutative Jordan subgroups of complex simple Lie groups
• Bistellare Äquivalenz kombinatorischer Mannigfaltigkeiten
• On Kühnel's 9-vertex complex projective plane
• Projective planes and their look-alikes.
• Combinatorial manifolds with few vertices
• Tight polyhedral submanifolds and tight triangulations
• Geometry of the space of triangulations of a compact manifold
• A 15-vertex triangulation of the quaternionic projective plane
• A short proof of the uniqueness of Kühnel's 9-vertex complex projective plane
• Simplicial Manifolds, Bistellar Flips and a 16-Vertex Triangulation of the Poincaré Homology 3-Sphere
• SEVERI VARIETIES
• THE KÜHNEL TRIANGULATION OF THE COMPLEX PROJECTIVE PLANE FROM THE VIEW POINT OF COMPLEX CRYSTALLOGRAPHY PART I
• THE KÜHNEL TRIANGULATION OF THE COMPLEX PROJECTIVE PLANE FROM THE VIEW POINT OF COMPLEX CRYSTALLOGRAPHY PART II
• THE PROBLEM OF DISCRIMINATING ALGORITHMICALLY THE STANDARD THREE-DIMENSIONAL SPHERE
• Which Spheres are Shellable?
• The octonions
• Local formulae for combinatorial Pontryagin classes
• PROJECTIONS OF ALGEBRAIC VARIETIES
• An explicit local combinatorial formula for the first Pontryagin class
• Discrete Morse Functions from Fourier Transforms
• Triangulations and Severi Varieties
• Random Discrete Morse Theory and a New Library of Triangulations
• The construction of combinatorial manifolds with prescribed sets of links of vertices
• Differentiable Structures on the 15-Sphere and Pontrjagin Classes of Certain Manifolds
• An enumeration of simplicial 4-polytopes with 8 vertices
• Shellable Decompositions of Cells and Spheres.
• The projective geometry of Freudenthal's magic square.

Related Items (2)

New examples and partial classification of 15-vertex triangulations of the quaternionic projective plane ⋮ On possible symmetry groups of 27-vertex triangulations of manifolds like the octonionic projective plane

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