Noncommutative Riemann surfaces by embeddings in \({\mathbb{R}^{3}}\)

DOI10.1007/s00220-009-0766-8zbMath1186.81077arXiv0711.2588OpenAlexW1975532111MaRDI QIDQ842475

Joakim Arnlind, Hidehiko Shimada, Laurent Hofer, Jens Hoppe, Martin Bordemann

Publication date: 25 September 2009

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.2588

zbMATH Keywords

Riemann surfacesrepresentationsPoisson algebraC-algebras

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Noncommutative geometry in quantum theory (81R60)

Related Items (7)

Kähler structure in the commutative limit of matrix geometry ⋮ Emergent geometry of membranes ⋮ Low dimensional matrix representations for noncommutative surfaces of arbitrary genus ⋮ Local well-posedness for membranes in the light cone gauge ⋮ Construction of n-Lie algebras and n-ary Hom-Nambu-Lie algebras ⋮ Deformed noncommutative tori ⋮ The world as quantized minimal surfaces

Cites Work

• Unnamed Item
• Unnamed Item
• Trigonometric structure constants for new infinite-dimensional algebras
• Membrane topology and matrix regularization
• Quantum Riemann surfaces. I: The unit disc
• Topological approach to quantum surfaces
• Toeplitz quantization of Kähler manifolds and \(gl(N)\), \(N\to \infty\) limits
• \(gl(\infty{})\) and geometric quantization
• DIFFEOMORPHISM GROUPS, QUANTIZATION, AND SU(∞)
• The fuzzy sphere
• Differential Topology

This page was built for publication: Noncommutative Riemann surfaces by embeddings in \({\mathbb{R}^{3}}\)