On homology spheres with few minimal non-faces

DOI10.1090/S0002-9939-2011-11095-5zbMath1270.05103arXiv1101.4480MaRDI QIDQ2845064

Lukas Katthän

Publication date: 22 August 2013

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

Full work available at URL: https://arxiv.org/abs/1101.4480

zbMATH Keywords

homology sphereslcm-latticeleast common multiple latticeminimal non-faces

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Combinatorial aspects of simplicial complexes (05E45)

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Polytopal affine semigroups with holes deep inside, The behavior of Stanley depth under polarization, 4-dimensional licci Gorenstein Stanley-Reisner ideals, Toric Rings Arising from Cyclic Polytopes

Cites Work

• One-point suspensions and wreath products of polytopes and spheres
• Betti numbers of chordal graphs and \(f\)-vectors of simplicial complexes
• The lcm-lattice in monomial resolutions
• Combinatorics and commutative algebra.
• On Gorenstein monomial ideals of codimension three
• Spheres with few vertices
• The triangulations of the 3-sphere with up to 8 vertices
• Lectures on Polytopes