Vector bundles for ``matrix algebras converge to the sphere
From MaRDI portal
Publication:1664012
DOI10.1016/j.geomphys.2018.06.003zbMath1410.46053arXiv1711.04054OpenAlexW2768781367MaRDI QIDQ1664012
Publication date: 24 August 2018
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.04054
vector bundlesspherematrix algebrasprojective modulesquantum Gromov-Hausdorff distance\({C}^\ast\)-metric space
Noncommutative differential geometry (46L87) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Noncommutative geometry in quantum theory (81R60) Operator algebra methods applied to problems in quantum theory (81R15) Noncommutative geometry (à la Connes) (58B34)
Related Items
On multimatrix models motivated by random noncommutative geometry. II: A Yang-Mills-Higgs matrix model, The category of compact quantum metric spaces, The strongly Leibniz property and the Gromov-Hausdorff propinquity, Almost periodic type group actions on compact quantum metric spaces, Dirac operators for matrix algebras converging to coadjoint orbits, The Fell topology and the modular Gromov-Hausdorff propinquity, INDUCTIVE LIMITS OF C*-ALGEBRAS AND COMPACT QUANTUM METRIC SPACES, The dual modular Gromov-Hausdorff propinquity and completeness, Sampling and periodization of generators of Heisenberg modules, Lipschitz isomorphisms of compact quantum metric spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Higher-dimensional unified theories with fuzzy extra dimensions
- Monopole bundles over fuzzy complex projective spaces
- Principal fibrations from noncommutative spheres
- Quantization of flag manifolds and their supersymmetric extensions
- Fuzzy complex Grassmannians and quantization of line bundles
- Metrics on states from actions of compact groups
- Quantization of equivariant vector bundles
- Quantized gauge theory on the fuzzy sphere as random matrix model
- Monopoles and solitons in fuzzy physics
- Fuzzy line bundles, the Chern character and topological charges over the fuzzy sphere
- Metrics on state spaces
- Topologically nontrivial field configurations in noncommutative geometry
- Bounded-Lipschitz distances on the state space of a \(C^*\)-algebra
- Charged particles in monopole background on fuzzy sphere
- DECONSTRUCTING MONOPOLES AND INSTANTONS
- MONOPOLES OVER FUZZY TWO-SPHERE BY ONE SEQUENCE OF THE IRREPS OF SU(2)
- Quantum Metric Spaces and the Gromov-Hausdorff Propinquity
- Leibniz seminorms for "Matrix algebras converge to the sphere"
- Distances between matrix algebras that converge to coadjoint orbits
- The quantum Gromov-Hausdorff propinquity
- Vector Bundles and Gromov–Hausdorff Distance
- Emergent geometry and gravity from matrix models: an introduction
- Gromov-Hausdorff distance for quantum metric spaces
- PROJECTORS, MATRIX MODELS AND NONCOMMUTATIVE MONOPOLES
- Matricial bridges for “Matrix algebras converge to the sphere”
- Non-commutative metric topology on matrix state space
- Projective modules of finite type and monopoles over \(S^2\)
