16 citations · 20 across the 12 of their papers we have counts for
12 papers
The double of a simplicial complex
Kathryn Lesh, Bridget Schreiner, Nathalie Wahl
We introduce the notion of doubling and r-tupling for simplicial complexes, a notion reminiscent to that of matching complexes in graph theory. We prove a connectivity result for s…
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…
Subgroup collections controlling the homotopy type of a -local compact group
Eva Belmont, Natàlia Castellana, Kathryn Lesh
Let (S,F,L) be a p-local compact group. We prove that the (uncompleted) homotopy type of the nerve of the linking system L is determined by the collection of subgroups of S that ar…
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…
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…
The rank filtration via a filtered bar construction
Gregory Z. Arone, Kathryn Lesh
Suppose F is a special Gamma-space equipped with a natural transformation to the infinite symmetric power functor. Segal's infinite loop space machine associates with F a spectrum,…
P-Toral Approximations Compute Bredon Homology
Gregory Z. Arone, William G. Dwyer, Kathryn Lesh
We study Bredon homology approximations for spaces with an action of a compact Lie group G. We show that if M is a coMackey functor satisfying mild p-locality conditions, then Bred…
Fixed points of coisotropic subgroups of on decomposition spaces
Gregory Arone, Kathryn Lesh
We study the equivariant homotopy type of the poset of orthogonal decompositions of a finite-dimensional complex vector space. Suppose that n is a power of a prime p, and that D is…
Classification of problematic subgroups of U(n)
Julia E. Bergner, Ruth Joachimi, Kathryn Lesh +2
We classify p-toral subgroups of U(n) that can have non-contractible fixed points under the action of U(n) on the complex of partitions of complex n-space into mutually orthogonal…
Fixed points of -toral groups acting on partition complexes
Julia E. Bergner, Ruth Joachimi, Kathryn Lesh +2
We consider the action of -toral subgroups of on the unitary partition complex . We show that if is -toral and has noncontractible fixe…
Bredon Homology of Partition Complexes
Gregory Z. Arone, William G. Dwyer, Kathryn Lesh
We prove that the Bredon homology or cohomology of the partition complex with fairly general coefficients is either trivial or computable in terms of constructions with the Steinbe…
Augmented Gamma-spaces, the stable rank filtration, and a bu-analogue of the Whitehead Conjecture
Gregory Arone, Kathryn Lesh
We explore connections between our earlier work, in which we constructed spectra that interpolate between bu and HZ, and earlier work of Kuhn and Priddy on the Whitehead conjecture…