Bena Tshishiku

activity

20162023

most citedBorel's stable range for the cohomology of arithmetic groups

7 citations · 8 across the 6 of their papers we have counts for

collaborators

10 papers

math.GT2023

Surface mapping class group actions on 3-manifolds

Alina Al Beaini, Lei Chen, Bena Tshishiku

For each circle bundle $S^{1} \to X \to Σ_{g}$ over a surface with genus $g \geq 2$ , there is a natural surjection $π : H o m e o^{+} (X) \to M o d (Σ_{g})$ . When $X$ is the unit tangent bundle $U Σ_{g}$ , it…

math.GT2022

Nielsen Realization for sphere twists on 3-manifolds

Lei Chen, Bena Tshishiku

For a 3-manifold M, the twist group Twist(M) is the subgroup of the mapping class group Mod(M) generated by twists about embedded 2-spheres. We study the Nielsen realization proble…

math.GT2021

Finite rigid sets and the separating curve complex

Junzhi Huang, Bena Tshishiku

For each closed surface of genus $g \geq 3$ , we find a finite subcomplex of the separating curve complex that is rigid with respect to incidence-preserving maps.

math.GR2021★ 1 cited

Convex-cocompact subgroups of the Goeritz group

Bena Tshishiku

We show that finitely-generated, purely pseudo-Anosov subgroups of the genus-2 Goeritz group are convex cocompact in the genus-2 mapping class group.

math.GR2020

Arithmeticity of groups $Z^{n} ⋊ Z$

Bena Tshishiku

We study when the group $Z^{n} ⋊_{A} Z$ is arithmetic where $A \in G L_{n} (Z)$ is hyperbolic and semisimple. We begin by giving a characterization of arithmetic…

math.AT2019

Characteristic classes of bundles of K3 manifolds and the Nielsen realization problem

Jeffrey Giansiracusa, Alexander Kupers, Bena Tshishiku

Let $K$ be the K3 manifold. In this note, we discuss two methods to prove that certain generalized Miller--Morita--Mumford classes for smooth bundles with fiber $K$ are non-zero. A…

Surface mapping class group actions on 3-manifolds

Nielsen Realization for sphere twists on 3-manifolds

Finite rigid sets and the separating curve complex

Convex-cocompact subgroups of the Goeritz group

Arithmeticity of groups Zn⋊Z

Characteristic classes of bundles of K3 manifolds and the Nielsen realization problem

Arithmeticity of groups $Z^{n} ⋊ Z$