Topological quantum field theories on manifolds with a boundary
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For manifolds with boundary, the path integral gives a transition function depending on specified boundary data, most simply the induced spin connection ω, with restrictions on the normal component of ω and the triad E.
“The path integral then gives a transition function that depends on specified boundary data — most simply, the induced spin connection ω, with some additional restrictions on the normal component of ω and the triad E [283, 84].”
From Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe (2005) · cites this paper as [283]
Cites
2 + 1 dimensional gravity as an exactly soluble system
Witten, E. (1988) · Nuclear Physics B · doi:10.1016/0550-3213(88)90143-5 · Cited by 2,562 · see citing works
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Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe
Carlip, S. (2005) · Living Reviews in Relativity · doi:10.12942/lrr-2005-1 · Cited by 172 · see citing works
- Authors
- Wu, S.
- Affiliations
- Massachusetts Institute of Technology (US)
- Corresponding author
- Wu, Siye
- ORCID
- Wu, Siye
- Venue
- Communications in Mathematical Physics
- Published
- 1991-02
- Volume
- 136
- Issue
- 1
- Pages
- 157-168
- ISSN
- 0010-3616 (ISSN-L)
- 1432-0916
- OpenAlex
- W1967960246
- Cited by
- 22
- References
- 1
- Citations by year
- 2024: 1 · 2023: 1 · 2022: 1 · 2021: 1 · 2019: 2 · 2018: 1 · 2017: 1 · 2016: 2 · 2015: 2
- FWCI
- 1.39
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Communications in Mathematical Physics (publishedVersion)
- Project Euclid (Cornell University) (submittedVersion)
- The HKU Scholars Hub (University of Hong Kong) (submittedVersion)
- Topics
- Physical Sciences › Mathematics › Geometry and Topology › Geometric and Algebraic Topology
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Mathematics › Geometry and Topology › Algebraic structures and combinatorial models
- Keywords
- topological field theory, manifolds with boundary, linking number, Ray-Singer torsion, partition function, gauge fixing, diffeomorphism invariance, two-point functions, n-point functions, path integral
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
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