Local Rigidity for -Representations of 3-Manifold Groups

DOI10.1080/10586458.2013.832441zbMath1297.57047arXiv1307.8343OpenAlexW2056588117MaRDI QIDQ5415566

Pierre-Vincent Koseleff, Antonin Guilloux, Nicolas Bergeron, Elisha Falbel, Fabrice Rouillier

Publication date: 13 May 2014

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.8343

zbMATH Keywords

3-manifoldsflagscomputational aspects in algebraic geometry\(\mathrm{PGL}(3,\mathbb C)\)rigidity of presentations

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Polylogarithms and relations with (K)-theory (11G55) (K)-theory of global fields (11R70) Étale cohomology, higher regulators, zeta and (L)-functions ((K)-theoretic aspects) (19F27) Computational aspects in algebraic geometry (14Q99)

Related Items (8)

Dimension of character varieties for $3$-manifolds ⋮ Tetrahedra of flags, volume and homology of SL(3) ⋮ Volume of Representations and Birationality of Peripheral Holonomy ⋮ The bounded Borel class and 3-manifold groups ⋮ On \(\mathrm{SL}(3,\mathbb{C})\)-representations of the Whitehead link group ⋮ Character Varieties For : The Figure Eight Knot ⋮ Representations of fundamental groups of 3-manifolds into \(\mathrm{PGL}(3,\mathbb C)\): exact computations in low complexity ⋮ Geometric structures and configurations of flags in orbits of real forms

Cites Work

• Tetrahedra of flags, volume and homology of SL(3)
• A spherical CR structure on the complement of the figure eight knot with discrete holonomy
• K-decompositions and 3d gauge theories
• Positively oriented ideal triangulations on hyperbolic three-manifolds
• Gluing equations for \(\mathrm{PGL}(n, \mathbb{C})\)-representations of 3-manifolds
• Representations of fundamental groups of 3-manifolds into \(\mathrm{PGL}(3,\mathbb C)\): exact computations in low complexity
• Geodesic ideal triangulations exist virtually

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