Improved bounds on acylindricity for right-angled Artin groups.
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We analyze the effect of adding, removing, and moving basepoints on link Floer homology. We prove that adding or removing basepoints via a procedure called quasi-stabilization is a natural operation on a certain version of link Floer homology, which we call . We consider the effect on the full link Flo…
We show that if a group acts by isometries on a metric space which has asymptotic property C, such that the quasi-stabilizers of a point have asymptotic dimension less than or equal to , then itself has asymptotic property C.
We prove extension theorems for several geometric properties such as asymptotic property C (APC), finite decomposition complexity (FDC), strict finite decomposition complexity (sFDC) which are weakenings of Gromov's finite asymptotic dimension (FAD). The context of all theorems is a finitely generated group with a …