Generalized holonomies

DOI10.1016/S0393-0440(97)00061-2zbMath0947.58003OpenAlexW4240270733MaRDI QIDQ1299242

João N. Tavares

Publication date: 6 June 2000

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0393-0440(97)00061-2

zbMATH Keywords

holonomyloopsAshtekar quantum gravityBaker-Campbell-Hausdorffnilpotent connections

Mathematics Subject Classification ID

General relativity (83C99) Applications of global differential geometry to the sciences (53C80) Group structures and generalizations on infinite-dimensional manifolds (58B25)

Related Items

Covariance of the extended holonomy

Cites Work

• Integration of paths, geometric invariants and a generalized Baker-Hausdorff formula
• Lie elements and an algebra associated with shuffles
• The extended loop group: An infinite dimensional manifold associated with the loop space
• CHEN INTEGRALS, GENERALIZED LOOPS AND LOOP CALCULUS
• Integration of Paths--A Faithful Representation of Paths by Noncommutative Formal Power Series
• Iterated path integrals
• Knot polynomial states of quantum gravity in terms of loops and extended loops: Some remarks
• Non-covariance of the generalized holonomies: Examples
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