FUNCTORIAL ASPECTS OF THE SPACE OF GENERALIZED CONNECTIONS

DOI10.1142/S0217732305017767zbMath1084.83514arXivmath-ph/0411073WikidataQ62501416 ScholiaQ62501416MaRDI QIDQ5706731

José M. Velhinho

Publication date: 21 November 2005

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0411073

zbMATH Keywords

categorygeneralized connectionsLoop quantum gravity

Mathematics Subject Classification ID

Quantization of the gravitational field (83C45) Applications of differential geometry to physics (53Z05) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05)

Related Items

Operator-algebraic construction of gauge theories and Jones' actions of Thompson's groups

Cites Work

• Generalized measures in gauge theory
• A groupoid approach to spaces of generalized connections
• Combinatorial space from loop quantum gravity
• Spin networks in gauge theory
• On the support of the Ashtekar-Lewandowski measure
• Differential geometry on the space of connections via graphs and projective limits
• Representations of the holonomy algebras of gravity and nonAbelian gauge theories
• ON THE STRUCTURE OF THE SPACE OF GENERALIZED CONNECTIONS
• Background independent quantum gravity: a status report
• Separable Hilbert space in loop quantum gravity
• Quantization of diffeomorphism invariant theories of connections with local degrees of freedom
• Projective techniques and functional integration for gauge theories
• Modern Canonical Quantum General Relativity