2 papers
math.AT2018
Overlapping Discs Filtration in the Commutative Operad
Keely Grossnickle
The spaces of configurations of non--overlapping discs have been studied as a bimodule over the little discs operad. In fact, the spaces form a filtered operad. We define and st…
math.AT2017
Cycle index sum for non-k-equal configurations
Keely Grossnickle, Victor Turchin
We compute the cycle index sum of the symmetric group action on the homology of the configuration spaces of points in a Euclidean space with the condition that no of them are e…