8 citations · 36 across the 22 of their papers we have counts for
6 papers · 1 filter
On the limit set of Anosov representations
Inkang Kim, Sungwoon Kim
We study the limit set of discrete subgroups arising from Anosov representations. Specially we study the limit set of discrete groups arising from strictly convex real projective s…
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…
Proportionality principle for the simplicial volume of families of Q-rank 1 locally symmetric spaces
Michelle Bucher, Inkang Kim, Sungwoon Kim
We establish the proportionality principle between the Riemannian volume and locally finite simplicial volume for Q-rank 1 locally symmetric spaces covered by products of hyperboli…
Volume invariant and maximal representations of discrete subgroups of Lie groups
Sungwoon Kim, Inkang Kim
Let be a lattice in a connected semisimple Lie group with trivial center and no compact factors. We introduce a volume invariant for representations of into , which…
Simplicial volume of compact manifolds with amenable boundary
Sungwoon Kim, Thilo Kuessner
Let be the interior of a connected, oriented, compact manifold of dimension at least 2. If each path component of has amenable fundamental group, then we prove…
Minimal volume of complete uniform visibility manifolds with finite volume
Sungwoon Kim
We show that complete uniform visibility manifolds of finite volume with sectional curvature have positive simplicial volumes. This implies that their minimal vo…