19 citations · 133 across the 26 of their papers we have counts for
5 papers · 1 filter
Homological stability for symmetric complements
Alexander Kupers, Jeremy Miller, TriThang Tran
Conjecture F from [VW12] states that the complements of closures of certain strata of the symmetric power of a smooth irreducible complex variety exhibit rational homological stabi…
Representation stability for homotopy groups of configuration spaces
Alexander Kupers, Jeremy Miller
We prove that the dual rational homotopy groups of the configuration spaces of a 1-connected manifold of dimension at least 3 are uniformly representation stable in the sense of Ch…
A twisted homology fibration criterion and the twisted group-completion theorem
Jeremy Miller, Martin Palmer
The purpose of this note is to clarify some details in McDuff and Segal's proof of the group-completion theorem and to generalize both this and the homology fibration criterion of…
-cell attachments and a local-to-global principle for homological stability
Alexander Kupers, Jeremy Miller
We define bounded generation for -algebras in chain complexes and prove that for this property is equivalent to homological stability. Using this we prove a local-t…
Improved homological stability for configuration spaces after inverting 2
Alexander Kupers, Jeremy Miller
In Appendix A of his article on rational functions, Segal proved homological stability for configuration spaces with a stability slope of 1/2. This was later improved to a slope of…