3 papers
math.AT2023
Normalizer decompositions of p-local compact groups
Eva Belmont, Natalia Castellana, Jelena Grbic +2
We give a normalizer decomposition for a p-local compact group (S, F, L) that describes |L| as a homotopy colimit indexed over a finite poset. Our work generalizes the normalizer d…
math.AT2021
Normalizers of chains of discrete -toral subgroups in compact Lie groups
Eva Belmont, Natàlia Castellana, Jelena Grbić +2
In this paper we study the normalizer decomposition of a compact Lie group using the information of the fusion system of on a maximal discrete -toral subgr…
math.AT2020
A new approach to mod 2 decompositions of BSU(2) and BSO(3)
Eva Belmont, Natàlia Castellana, Jelena Grbić +2
Dwyer, Miller and Wilkerson proved that at the prime 2, the classifying spaces of SU(2) and SO(3) can be obtained as a homotopy pushout of the classifying spaces of certain subgrou…