2 papers
math.DG2022
Integral Curvature Bounds and Betti Numbers
Runze Yu
We introduce an upper bound of the Betti numbers of a compact Riemannian manifold given integral bounds on the average of the lowest eigenvalues of the curvature operator. We then…
math.GR2022
Linearity of Generalized Cactus Groups
Runze Yu
Cactus groups are traditionally defined based on symmetric groups, and pure cactus groups are particular subgroups of cactus groups. Mostovoy showed that pure cactus groups embed i…