8 citations · 34 across the 16 of their papers we have counts for
16 papers
On measure homology of mildly wild spaces
Thilo Kuessner, Janusz Przewocki, Andreas Zastrow
We prove injectivity of the canonical map from singular homology to measure homology for certain ``mildly wild" spaces, that is, certain spaces not having the homotopy type of a CW…
Borel class and Cartan involution
Thilo Kuessner
In this note we prove that the Borel class of representations of 3-manifold groups to PGL(n,C) is preserved under Cartan involution up to sign. For representations to PGL(3,C) this…
On boundary maps of Anosov representations of a surface group to SL(3,R)
Sungwoon Kim, Thilo Kuessner
We prove that Anosov representations from a surface group to SL(3,R) are uniquely determined by their boundary maps if and only if they do not factor over a completely reducible re…
Fundamental classes of 3-manifold group representations in SL(4,R)
Thilo Kuessner
We compute the fundamental class (in the extended Bloch group) for representations of fundamental groups of 3-manifolds to SL(4,R) that factor over SL(2,C), in particular for those…
Invariants preserved by mutation
Thilo Kuessner
We prove that generalized mutation preserves several geometric invariants such as the volume and Goncharov invariant of Q-rank 1 locally symmetric spaces.
Homological and Bloch invariants for Q-rank one spaces and flag structures
Inkang Kim, Sungwoon Kim, Thilo Kuessner
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…