55 citations · 257 across the 22 of their papers we have counts for
6 papers · 1 filter
On the infinite loop spaces of algebraic cobordism and the motivic sphere
Tom Bachmann, Elden Elmanto, Marc Hoyois +3
We obtain geometric models for the infinite loop spaces of the motivic spectra , , and over a field. They are motivically equivalent to $\m…
Virtual fundamental classes of derived stacks I
Adeel A. Khan
We construct the étale motivic Borel-Moore homology of derived Artin stacks. Using a derived version of the intrinsic normal cone, we construct fundamental classes of quasi-smooth…
Virtual excess intersection theory
Adeel A. Khan
We prove a K-theoretic excess intersection formula for derived Artin stacks. When restricted to classical schemes, it gives a refinement and new proof of R. Thomason's formula.
Modules over algebraic cobordism
Elden Elmanto, Marc Hoyois, Adeel A. Khan +2
We prove that the -category of -modules over any scheme is equivalent to the -category of motivic spectra with finite syntomic transfers. Using the re…
Borel isomorphism and absolute purity
Frédéric Déglise, Jean Fasel, Fangzhou Jin +1
We prove absolute purity for the rational motivic sphere spectrum. The main ingredient is the construction of an analogue of the Chern character, where algebraic K-theory is replac…
Regularity of spectral stacks and discreteness of weight-hearts
Vladimir Sosnilo
We study regularity in the context of ring spectra and spectral stacks. Parallel to that, we construct a weight structure on the category of compact quasi-coherent sheaves on spect…