Group of loops, holonomy maps, path bundle and path connection
Open accessAbstract
Several new results are established concerning the theory of connections in the context of holonomy maps and the group of loops in a given manifold. In particular the Kernel theorem is formulated and proved; it leads to the reconstruction of a connection and a bundle directly from the loops which set up the kernel of a holonomy map.
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References 11 · Cited by 37
Research works printed but not linked: 3
- Loll R 1992 Loop Approaches to gauge field theory *rocuse preprint SU-PG9216.2
- SI Smolin L 1992 Recent developments in nonperturbative quantum gravity $muse preprint SU-PG- 9212-2 191
- Anandan J 1981 Holonomy groups in gavity and gauge fields Pmc. Conf Differential Geometric Methods in Plystcs (fieste 1981) ed G Denardo and H D Doebner (Singapore: World Scientific) [ll]
- Authors
- Lewandowski, J.
- Affiliations
- Syracuse University (US)
- Corresponding author
- Lewandowski, J
- ORCID
- Lewandowski, J
- Venue
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Published
- 1993-05-01
- Volume
- 10
- Issue
- 5
- Pages
- 879-904
- ISSN
- 0264-9381 (ISSN-L)
- 1361-6382
- OpenAlex
- W2090262651
- Cited by
- 37
- References
- 11
- Citations by year
- 2025: 1 · 2024: 1 · 2021: 1 · 2019: 2 · 2018: 2 · 2014: 1 · 2013: 1
- FWCI
- 7.21
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Classical and Quantum Gravity (publishedVersion)
- Funders
- National Science Foundation (8612424)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Advanced Differential Geometry Research
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Mathematics › Applied Mathematics › Geometric Analysis and Curvature Flows
- Keywords
- holonomy maps, loop groups, connections, kernel theorem, fiber bundles, gauge theory
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