18 citations · 135 across the 39 of their papers we have counts for
4 papers · 1 filter
Homological stability for complements of closures
Alexander Kupers, Jeremy Miller
We prove Conjecture F from [VW12] which states that the complements of closures of certain strata of the symmetric power of a smooth irreducible complex variety exhibit rational ho…
Homological stability for topological chiral homology of completions
Alexander Kupers, Jeremy Miller
By proving that several new complexes of embedded disks are highly connected, we obtain several new homological stability results. Our main result is homological stability for topo…
Homological stability for unlinked circles in a 3-manifold
Alexander Kupers
We prove a homological stability theorem for unlinked circles in -manifolds and give an application to certain groups of diffeomorphisms of 3-manifolds.
Some stable homology calculations and Occam's razor for Hodge structures
Alexander Kupers, Jeremy Miller
Motivated by motivic zeta function calculations, Vakil and Wood in [VMW12] made several conjectures regarding the topology of subspaces of symmetric products. The purpose of this n…