62 citations · 147 across the 47 of their papers we have counts for
6 papers · 1 filter
Kahler metric on the space of convex real projective structures on surface
Inkang Kim, Genkai Zhang
We prove that the space of convex real projective structures on a surface of genus admits a mapping class group invariant Kähler metric where Teichmüller space with Weil-P…
Separable-stable representations of a compression body
Inkang Kim, Michelle Lee
Let M be a hyperbolizable, nontrivial compression body without toroidal boundary components. In this paper, we characterize which discrete and faithful representations of the funda…
On deformation spaces of nonuniform hyperbolic lattices
Sungwoon Kim, Inkang Kim
Let be a nonuniform lattice acting on real hyperbolic n-space. We show that in dimension greater than or equal to 4, the volume of a representation is constant on each connecte…
Primitive stable closed hyperbolic 3-manifolds
Inkang Kim, Cyril Lecuire, Ken'ichi Ohshika
We show that closed 3-manifolds with high Heegaard distance and bounded subsurface Heegaard distance are primitive stable when they are regarded as representations from the free gr…
Betti numbers of Gaussian fields
Changbom Park, Pratyush Pranav, Pravabati Chingangbam +6
We present the relation between the genus in cosmology and the Betti numbers for excursion sets of three- and two-dimensional smooth Gaussian random fields, and numerically investi…
Eichler-Shimura isomorphism for complex hyperbolic lattices
Inkang Kim, Genkai Zhang
We consider the cohomology group of a discrete subgroup and the symmetric tensor representation on . We give an elementa…