1 citations · 2 across the 3 of their papers we have counts for
3 papers
math.GT2017★ 1 cited
The complexity of prime 3-manifolds and the first -cohomology of small rank
Kei Nakamura
For a closed orientable connected 3-manifold , its complexity is defined to be the minimal number of tetrahedra in its triangulations. Under the assumption t…
math.MG2017★ 1 cited
Geometry and Arithmetic of Crystallographic Sphere Packings
Alex Kontorovich, Kei Nakamura
We introduce the notion of a "crystallographic sphere packing," defined to be one whose limit set is that of a geometrically finite hyperbolic reflection group in one higher dimens…
math.GR2011
The girth alternative for mapping class groups
Kei Nakamura
The girth of a finitely generated group G is the supremum of the girth of Cayley graphs for G over all finite generating sets. Let G be a finitely generated subgroup of the mapping…