Cohomological rigidity of families of manifolds associated with ideal right-angled hyperbolic 3-polytopes
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Publication:2099704
DOI10.1134/S0081543822040083OpenAlexW4312561328WikidataQ115526000 ScholiaQ115526000MaRDI QIDQ2099704
Publication date: 18 November 2022
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0081543822040083
cohomological rigidity\(B\)-rigidityalmost Pogorelov polytopeideal right-angled polytopepullback from linear model
Rigidity results (53C24) Algebraic topology on manifolds and differential topology (57R19) Polytopes and polyhedra (52Bxx) Toric topology (57S12)
Cites Work
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- Truncations of simple polytopes and applications
- How to cage an egg
- Convex polytopes, Coxeter orbifolds and torus actions
- Real quadrics in \(\mathbb C^n\), complex manifolds and convex polytopes
- Three-dimensional hyperbolic manifolds of Löbell type
- On lower bounds of number of perfect matchings in fullerene graphs
- Euclidean structures on simplicial surfaces and hyperbolic volume
- Cyclical edge-connectivity of fullerene graphs and \((k,6)\)-cages
- Vanishing theorems and conjectures for the 2-homology of right-angled Coxeter groups
- A characterization of ideal polyhedra in hyperbolic 3-space
- On generating planar graphs
- Three-dimensional right-angled polytopes of finite volume in the Lobachevsky space: combinatorics and constructions
- A regular partition of Lobachevskian space
- Generation of simple quadrangulations of the sphere
- On manifolds defined by 4-colourings of simple 3-polytopes
- Combinatorial Rigidity of 3-dimensional Simplicial Polytopes
- Constructions of families of three-dimensional polytopes, characteristic patches of fullerenes, and Pogorelov polytopes
- Toric cohomological rigidity of simple convex polytopes
- Lectures on Polytopes
- Variational principles for circle patterns and Koebe’s theorem
- FULLERENES, POLYTOPES AND TORIC TOPOLOGY
- The group of projectivities and colouring of the facets of a simple polytope
- Ideal right-angled polyhedra in Lobachevsky space
- 𝐵-rigidity of the property to be an almost Pogorelov polytope
- Example of C-rigid polytopes which are not B-rigid
- Cohomological rigidity of manifolds defined by 3-dimensional polytopes
- Right-angled polyhedra and hyperbolic 3-manifolds
- Toric Topology
- ON CONVEX POLYHEDRA IN LOBAČEVSKIĬ SPACES
- ON CONVEX POLYHEDRA OF FINITE VOLUME IN LOBAČEVSKIĬ SPACE
- Three-dimensional manifolds defined by coloring a simple polytope
- Canonical geometrization of orientable $3$-manifolds defined by vector colourings of $3$-polytopes
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