2 citations · 2 across the 3 of their papers we have counts for
6 papers · 1 filter
Homeomorphism groups of 2-manifolds with the virtual Rokhlin property
Justin Lanier, Nicholas G. Vlamis
We introduce and motivate the definition of the virtual Rokhlin property for topological groups. We then classify the 2-manifolds whose homeomorphism groups have the virtual Rokhli…
Curve graphs of surfaces with finite-invariance index 1
Justin Lanier, Marissa Loving
In this note we make progress toward a conjecture of Durham--Fanoni--Vlamis, showing that every infinite-type surface with finite-invariance index 1 and no nondisplaceable compact…
Centers of subgroups of big mapping class groups and the Tits alternative
Justin Lanier, Marissa Loving
In this note we show that many subgroups of mapping class groups of infinite-type surfaces without boundary have trivial centers, including all normal subgroups. Using similar tech…
Adding a point to configurations in closed balls
Lei Chen, Nir Gadish, Justin Lanier
We answer the question of when a new point can be added in a continuous way to configurations of distinct points in a closed ball of arbitrary dimension. We show that this is p…
Normal generators for mapping class groups are abundant
Justin Lanier, Dan Margalit
We provide a simple criterion for an element of the mapping class group of a closed surface to have normal closure equal to the whole mapping class group. We apply this to show tha…
Generating mapping class groups with elements of fixed finite order
Justin Lanier
We show that for any at least and sufficiently large, the mapping class group of a surface of genus can be generated by three elements of order . We also show th…