4 papers
math.AT2021
Actads
Sophie Kriz
In this paper, I introduce a new generalization of the concept of an operad, further generalizing the concept of an opetope introduced by Baez and Dolan, who used this for the defi…
math.AT2021
Equivariant cohomology and the super reciprocal plane of a hyperplane arrangement
Sophie Kriz
In this paper, we investigate certain graded-commutative rings which are related to the reciprocal plane compactification of the coordinate ring of a complement of a hyperplane arr…
math.AT2020
Notes on equivariant homology with constant coefficients
Sophie Kriz
In this paper, for a finite group, we discuss a method for calculating equivariant homology with constant coefficients. We apply it to completely calculate the geometric fixed poin…
math.AC2018
Noether's problem for orientation -subgroups of symmetric groups
Sophie Kriz
We give a positive solution to Noether's rationality problem for certain index subgroups of the -Sylow subgoups of symmetric groups.