5 papers
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…
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…
Framed transfers and motivic fundamental classes
Elden Elmanto, Marc Hoyois, Adeel A. Khan +2
We relate the recognition principle for infinite -loop spaces to the theory of motivic fundamental classes of Déglise, Jin, and Khan. We first compare two kinds of tra…
Higher colimits, derived functors and homology
Sergei O. Ivanov, Roman Mikhailov, Vladimir Sosnilo
A theory of higher colimits over categories of free presentations is developed. It is shown that different homology functors such as Hoshcshild and cyclic homology of algebras over…
Theorem of the heart in negative K-theory for weight structures
Vladimir Sosnilo
We construct the strong weight complex functor (in the sense of Bondarko) for a stable infinity-category equipped with a bounded weight structure . Along the way…