8 citations · 31 across the 20 of their papers we have counts for
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math.GT2026
Sphere decomposition for finite subgroups of 3-manifold mapping class groups
Corey Bregman, Bena Tshishiku
For a closed, oriented 3-manifold , we show that any finite subgroup of its mapping class group preserves an isotopy class of filling sphere system on . This is an isotopy ve…
math.GT2026
Finite group actions on nonpositively curved 3-manifolds
Bena Tshishiku, Zhengyu Zou
We show that every orientation-preserving action of a finite group on a closed nonpositively curved 3-manifold preserves a nonpositively curved metric.
math.GT2026
Morse complexity of homology classes
Fedor Manin, Bena Tshishiku, Shmuel Weinberger
The Morse complexity of a manifold is the minimal number of handles required to build it. We explore the Morse complexity of manifolds, bordisms, and homology classes, proving nont…