2 papers
math.GT2026
Affine transverse foliations in sphere bundles
Ilya Alekseev, Ivan Nasonov, Gaiane Panina
Let~ be an oriented sphere bundle supporting a smooth affine transverse foliation. We give an upper bound for the Euler number of the bundle.…
math.GR2025
Action of automorphisms of pure braid groups on homotopy groups of two-sphere
Ilya Alekseev, Vasily Ionin, Mikhail Mikhailov
We examine the Moore complex of the Delta-group structure related to the pure braid groups and introduced by Berrick, Cohen, Wong, and Wu. We prove that the cycle and the boundary…