Regular connections among generalized connections
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At least for the piecewise analytic category, the set of gauge orbits A/G is densely embedded into A/G and no two piecewise analytic connections fall into the same equivalence class by moding out the group of gauge transforms.
“at least for the piecewise analytic category, the set of gauge orbits A/G is densely embedded into A/G and no two piecewise analytic connections fall into the same equivalence class by moding out the group of gauge transforms [18].”
From Representations of the Weyl Algebra in Quantum Geometry (2009) · cites this paper as [18]
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References 13 · Cited by 8
Research works printed but not linked: 3
- [2][2] Abhay Ashtekar and Chris J. Isham: Representations of the holonomy algebras of gravity and nonabelian gauge theories. Class. Quant. Grav. 9 (1992) 1433-1468. e-print: hep-th/9202053 . - · arXiv
- [9][9] Christian Fleischhack: Mathematische und physikalische Aspekte verallgemeinerter Eichfeldtheorien im Ashtekarprogramm (Dissertation). Universit¨ at Leipzig, 2001. -
- [16][16] Michael Reed and Barry Simon: Methods of Modern Mathematical Physics, vol. 2 (Fourier Analysis, Self-Adjointness) . Academic Press, Inc., London, 1975. -
- Authors
- Fleischhack, C.
- Affiliations
- Pennsylvania State University (US)
- Corresponding author
- Fleischhack, Christian
- Venue
- Journal of Geometry and Physics
- Publisher
- Elsevier BV
- Published
- 2003-09
- Volume
- 47
- Issue
- 4
- Pages
- 469-483
- ISSN
- 0393-0440 (ISSN-L)
- OpenAlex
- W2075752224
- Cited by
- 8
- References
- 13
- Citations by year
- 2021: 1 · 2018: 1 · 2016: 1
- FWCI
- 0.64
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Journal of Geometry and Physics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Science Foundation
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Advanced Differential Geometry Research
- Keywords
- generalized connections, density, measure zero, gauge orbits, loop quantum gravity
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