2 papers
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…
math.GT2025
Rotation index, Milnor--Munkres--Novikov pairing, and group actions on manifolds
Mauricio Bustamante, Bena Tshishiku
We introduce an invariant of a pair of commuting invertible matrices that we call the rotation index. We apply this invariant, together with the Milnor--Munkres--Novikov pairing, t…