The extended Bloch group and algebraic \(K\)-theory

DOI10.1515/crelle-2013-0055zbMath1334.19004arXiv0910.4005OpenAlexW2163817720MaRDI QIDQ2352897

Christian K. Zickert

Publication date: 6 July 2015

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.4005

zbMATH Keywords

hyperbolic 3-manifoldalgebraic \(K\)-theoryBorel regulatorChern-Simons invariantextended Bloch groupRogers dilogarithmhomology of linear groupsPtolemy cochains

Mathematics Subject Classification ID

(K)-theory and homology; cyclic homology and cohomology (19D55) General geometric structures on low-dimensional manifolds (57M50) (K)-theory of global fields (11R70) Higher symbols, Milnor (K)-theory (19D45)

Related Items (9)

The third homology of \(\mathrm{SL}_2(\mathbb{Q})\) ⋮ K-decompositions and 3d gauge theories ⋮ The extended Bloch groups of biquadratic and dihedral number fields ⋮ Third homology of \(\mathrm{SL}_2\) over number fields: the norm-Euclidean quadratic imaginary case ⋮ Reciprocity of the Chern-Simons invariants of 3-manifolds ⋮ Holomorphic polylogarithms and Bloch complexes ⋮ Tetrahedra of flags, volume and homology of SL(3) ⋮ The reduced Dijkgraaf–Witten invariant of double twist knots in the Bloch group of 𝔽p ⋮ Fundamental classes of 3-manifold groups representations in SL(4,R)

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