62 citations · 147 across the 47 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…
McShane's Identity in Rank One Symmetric Spaces
Inkang Kim, Joonhyung Kim, Ser Peow Tan
In this paper we study McShane's identity in real and complex hyperbolic spaces and obtain various generalizations of the identity for representations of surface groups into the is…
Deformation space of a non-uniform 3-dimensional real hyperbolic lattice in quaternionic hyperbolic plane
Inkang Kim
In this note, we study deformations of a non-uniform real hyperbolic lattice in quaternionic hyperbolic spaces. Specially we show that the representations of the fundamental group…