Invariant functions on Lie groups and Hamiltonian flows of surface group representations
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The symplectic structure obtained in this way is closely related to the symplectic structure on the abstract space of loops on Σ first discovered by Goldman.
“It is also interesting that the symplectic structure obtained in this way is closely related to the symplectic structure on the abstract space of loops on Σ first discovered by Goldman [145, 146].”
From Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe (2005) · cites this paper as [146]
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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
- Goldman, W. M.
- Affiliations
- Massachusetts Institute of Technology (US)
- Corresponding author
- Goldman, William M.
- ORCID
- Goldman, William M.
- Venue
- Inventiones Mathematicae
- Published
- 1986-06
- Volume
- 85
- Issue
- 2
- Pages
- 263-302
- ISSN
- 0020-9910 (ISSN-L)
- 1432-1297
- OpenAlex
- W2043232165
- Cited by
- 441
- References
- 0
- Citations by year
- 2026: 7 · 2025: 7 · 2024: 14 · 2023: 14 · 2022: 15 · 2021: 22 · 2020: 22 · 2019: 15 · 2018: 20 · 2017: 21 · 2016: 23 · 2015: 24 · 2014: 16 · 2013: 19 · 2012: 16
- FWCI
- 1.63
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Inventiones mathematicae (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Geometry and Topology › Geometric and Algebraic Topology
- Physical Sciences › Mathematics › Mathematical Physics › Advanced Algebra and Geometry
- Physical Sciences › Mathematics › Applied Mathematics › Geometric Analysis and Curvature Flows
- Keywords
- invariant functions, Lie groups, surface group representations, Hamiltonian flows, moduli spaces of representations, symplectic structure, conjugacy classes
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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