Geometric structures on moment-angle manifolds
From MaRDI portal
Publication:2854102
DOI10.1070/RM2013v068n03ABEH004840zbMath1283.57028arXiv1302.2463MaRDI QIDQ2854102
Publication date: 17 October 2013
Published in: Russian Mathematical Surveys (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1302.2463
moment-angle manifoldsimple polytopesHermitian quadricssimplicial fansHamiltonian-minimal Lagrangian submanifoldsnon-Kähler complex manifolds
Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Symplectic and contact topology in high or arbitrary dimension (57R17) Lagrangian submanifolds; Maslov index (53D12) Topological aspects of complex manifolds (32Q55) Algebraic topology on manifolds and differential topology (57R19) Gale and other diagrams (52B35)
Related Items
Spaces of algebraic maps from real projective spaces to toric varieties, Complex geometry of moment-angle manifolds, Monotone Lagrangian submanifolds of \(\mathbb{C}^n\) and toric topology, Products and connected sums of spheres as monotone Lagrangian submanifolds, Action of free commuting involutions on closed two-dimensional manifolds, Spaces of non-resultant systems of bounded multiplicity determined by a toric variety, Cohomological rigidity of manifolds defined by 3-dimensional polytopes, Higher Whitehead products in moment-angle complexes and substitution of simplicial complexes, The homotopy type of spaces of rational curves on a toric variety, The torsion of real toric manifolds, The homotopy type of the space of algebraic loops on a toric variety, Torus actions, maximality, and non-negative curvature, Norm minima in certain Siegel leaves
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Intersections of quadrics, moment-angle manifolds, and Hamiltonian-minimal Lagrangian embeddings
- Completely integrable torus actions on complex manifolds with fixed points
- LVMB manifolds and simplicial spheres
- Convex polytopes, Coxeter orbifolds and torus actions
- Real quadrics in \(\mathbb C^n\), complex manifolds and convex polytopes
- Hamiltonian-minimal Lagrangian submanifolds in Kähler manifolds with symmetries
- The homotopy type of the complement of a coordinate subspace arrangement
- Moment-angle complexes, monomial ideals and Massey products
- Lagrangian Klein bottles in \({\mathbb{R}^{2n}}\)
- On the variation in the cohomology of the symplectic form of the reduced phase space
- The topology of torus actions on symplectic manifolds. Transl. from the French by the author
- Volume minimization of Lagrangian submanifolds under Hamiltonian deformations
- Moment maps and combinatorial invariants of Hamiltonian \(T^ n\)-spaces
- A new geometric construction of compact complex manifolds in any dimension
- Hamiltonian stationary Lagrangian surfaces in \(\mathbb{C}^2\)
- Construction of Hamiltonian-minimal Lagrangian submanifolds in complex Euclidean space
- Intersections of quadrics, moment-angle manifolds and connected sums
- The integral cohomology of toric manifolds
- Hamiltonian stationary Lagrangian surfaces in \(\mathbb C \mathbb{P}^{2}\)
- The polyhedral product functor: A method of decomposition for moment-angle complexes, arrangements and related spaces
- Torus actions, combinatorial topology, and homological algebra
- Introduction to Toric Varieties. (AM-131)
- Cox Rings
- Foliations Modeling Nonrational Simplicial Toric Varieties
- On a Family of Conformally Flat Hamiltonian-Minimal Lagrangian Tori in
- Categorical aspects of toric topology
- Permutohedra, Associahedra, and Beyond
- Lagrangian embeddings of the Klein bottle and combinatorial properties of mapping class groups
- Hamiltoniens périodiques et images convexes de l'application moment
- THE GEOMETRY OF TORIC VARIETIES
- Lectures on Polytopes
- A new family of complex, compact, non-symplectic manifolds
- New examples of Hamilton-minimal and minimal Lagrangian manifolds in $ \mathbb C^n$ and $ \mathbb C\mathrm P^n$
- Cellular cochain algebras and torus actions
- Holomorphic principal bundles over projective toric varieties
- Massey triple products in the cohomology of moment-angle complexes
- Complex-analytic structures on moment-angle manifolds
- Hamiltonian-minimal Lagrangian submanifolds in toric varieties
- Topological toric manifolds
- Toric Topology
- DISCRETE LINEAR GROUPS GENERATED BY REFLECTIONS
- Compact complex manifolds: an extension of Meersseman's and López de Medrano-Verjovsky's construction
