Ebook: Scissors congruences, group homology and characteristic classes

Introduction and history; scissors congruence group and homology; homology of flag complexes; translational scissors congruences; Euclidean scissors congruences; Sydler's theorem and non-commutative differential forms; spherical scissors congruences; hyperbolic scissors congruences; homology of Lie groups made discrete; invariants; simplices in spherical and hyperbolic 3-space; rigidity of Cheeger-Chern-Simons invariants; projective configurations and homology of the projective linear group; homology of indecomposable configurations; the case of PGI(3,F)