Topology of moment-angle manifolds arising from flag nestohedra

DOI10.1007/s11401-017-1037-1zbMath1391.13044arXiv1510.07778OpenAlexW3100856487MaRDI QIDQ1688140

Ivan Limonchenko

Publication date: 5 January 2018

Published in: Chinese Annals of Mathematics. Series B, Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.07778

zbMATH Keywords

Stanley-Reisner ringMassey productsmoment-angle manifoldnestohedronMassey productflag nestohedragraph-associahedron\(2\)-truncated cube

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Products and intersections in homology and cohomology (55N45) Massey products (55S30)

Related Items (12)

LS-category of moment-angle manifolds and higher order Massey products ⋮ Higher order Massey products and applications ⋮ Topology of moment-angle manifolds arising from flag nestohedra ⋮ Zoo of monotone Lagrangians in \(\mathbb{C}P^n\) ⋮ Cohomological rigidity of manifolds defined by 3-dimensional polytopes ⋮ On higher Massey products and rational formality for moment-angle manifolds over multiwedges ⋮ Non-trivial higher Massey products in moment-angle complexes ⋮ Massey products, toric topology and combinatorics of polytopes ⋮ Massey products in the cohomology of the moment-angle manifolds corresponding to Pogorelov polytopes ⋮ The Stiefel-Whitney classes of moment-angle manifolds are trivial ⋮ On the homotopy decomposition for the quotient of a moment-angle complex and its applications ⋮ Toric objects associated with the dodecahedron

Cites Work

• Unnamed Item
• Unnamed Item
• Matroid polytopes, nested sets and Bergman fans
• Real quadrics in \(\mathbb C^n\), complex manifolds and convex polytopes
• The homotopy type of the complement of a coordinate subspace arrangement
• Moment-angle complexes, monomial ideals and Massey products
• Faces of generalized permutohedra
• Topology of moment-angle manifolds arising from flag nestohedra
• Bigraded Betti numbers of certain simple polytopes
• Decompositions of polyhedral products for shifted complexes
• Coxeter complexes and graph-associahedra
• The polyhedral product functor: A method of decomposition for moment-angle complexes, arrangements and related spaces
• Torus actions, combinatorial topology, and homological algebra
• The homotopy types of moment-angle complexes for flag complexes
• Homotopy theory in toric topology
• Sharp upper and lower bounds for nestohedra
• Adjacent Connected Sums and Torus Actions
• On the self-linking of knots
• Massey triple products in the cohomology of moment-angle complexes
• Toric Topology
• Massey Higher Products
• Homotopy Associativity of H-Spaces. I

This page was built for publication: Topology of moment-angle manifolds arising from flag nestohedra