Valuations on the character variety: Newton polytopes and residual Poisson bracket
DOI10.2140/gt.2024.28.593arXiv2104.04340OpenAlexW3158267150MaRDI QIDQ6118346
Christopher-Lloyd Simon, Julien Marché
Publication date: 21 March 2024
Published in: Geometry \& Topology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.04340
Newton polytopePoisson bracketsurface groupsymplectic structurevaluationskein algebracharacter varietyreal treemeasured laminationGoldman Poisson bracket
Group actions on manifolds and cell complexes in low dimensions (57M60) Symplectic structures of moduli spaces (53D30) Groups acting on trees (20E08) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)
Cites Work
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- Connected components of the compactification of representation spaces of surface groups
- The symplectic nature of fundamental groups of surfaces
- Valuations, trees, and degenerations of hyperbolic structures. I
- The Gromov topology on \({\mathbb{R}}\)-trees
- The uses of 2 by 2 matrices in combinatorial group theory. A survey
- Shortening curves on surfaces
- Shearing hyperbolic surfaces, bending pleated surfaces and Thurston's symplectic form
- Rings of \(SL_2(\mathbb{C})\)-characters and the Kauffman bracket skein module
- On skein algebras and \(Sl_2(\mathbb{C})\)-character varieties
- The Weil-Petersson and Thurston symplectic forms
- Geodesic currents and counting problems
- Automorphisms of character varieties
- Positive basis for surface skein algebras
- Ergodic Theory of the Space of Measured Laminations
- Earthquakes on Riemann Surfaces and on Measured Geodesic Laminations
- Combinatorics of Train Tracks. (AM-125)
- UNDERSTANDING THE KAUFFMAN BRACKET SKEIN MODULE
- 𝑆𝐿(2) Representations of Finitely Presented Groups
- Compactification of Spaces of Representations After Culler, Morgan and Shalen
- Simple loops on surfaces and their intersection numbers
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