Homological and Bloch invariants for Q-rank one spaces and flag structures

Abstract

We use group homology to define invariants in algebraic K-theory and in an analogue of the Bloch group for Q-rank one lattices and for some other geometric structures. We also show that the Bloch invariants of CR structures and of flag structures can be recovered by a fundamental class construction.

42 pages

References in corpus (4)

• Tetrahedra of flags, volume and homology of SL(3)
• Mutation and recombination for hyperbolic 3-manifolds
• A combinatorial invariant for Spherical CR structures
• A Volume Function for CR Tetrahedra

Cited by in corpus (1)

• Simplicial volume, Barycenter method, and Bounded cohomology