Tetrahedra of flags, volume and homology of SL(3)

DOI10.2140/gt.2014.18.1911zbMath1365.57023arXiv1101.2742OpenAlexW2111664804MaRDI QIDQ463140

Nicolas Bergeron, Elisha Falbel, Antonin Guilloux

Publication date: 16 October 2014

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.2742

zbMATH Keywords

3-manifoldstetrahedraBloch group\(\mathrm{PGL}(3, \mathbb{C})\)

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) General geometric structures on low-dimensional manifolds (57M50)

Related Items

Ptolemy coordinates, Dehn invariant and the \(A\)-polynomial, Aspects of defects in 3d-3d correspondence, K-decompositions and 3d gauge theories, Gluing equations for real projective structures on \(3\)-manifolds, Flag structures on real 3-manifolds, Volume of Representations and Birationality of Peripheral Holonomy, The bounded Borel class and 3-manifold groups, Local Rigidity for -Representations of 3-Manifold Groups, Volumes of \(\operatorname{SL}_n(\mathbb{C})\)-representations of hyperbolic 3-manifolds, Complex hyperbolic geometry of the figure-eight knot, Deformation of hyperbolic manifolds in 𝑃𝐺𝐿(𝑛,𝐂) and discreteness of the peripheral representations, On \(\mathrm{SL}(3,\mathbb{C})\)-representations of the Whitehead link group, Fock-Goncharov coordinates for rank two Lie groups, Complex Chern-Simons theory at level \(k\) via the 3d-3d correspondence, 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, BRANCHED CAUCHY–RIEMANN STRUCTURES ON ONCE-PUNCTURED TORUS BUNDLES, Homological and Bloch invariants for \(\mathbb Q\)-rank one spaces and flag structures, Hyperbolic tessellations and generators of for imaginary quadratic fields, Configurations of flags in orbits of real forms, Gluing equations for \(\mathrm{PGL}(n, \mathbb{C})\)-representations of 3-manifolds

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