19 citations · 68 across the 22 of their papers we have counts for
31 papers
Computing framed motives
Grigory Garkusha
We develop methods for computing framed motives associated with motivic Thom spectra. Our main tool is a motivic Atiyah--Hirzebruch spectral sequence relating framed motives to fra…
K-theory and matrix transfers
Grigory Garkusha
We introduce and study matrix transfers to achieve elementary models for bivariant -theory. They share lots of common properties with Voevodsky's framed correspondences and lead…
Symmetric quasi-coherent sheaves
Grigory Garkusha
Using methods of stable homotopy theory, the category of symmetric quasi-coherent sheaves associated with non-commutative graded algebras with extra symmetries is introduced and st…
The Ziegler spectrum for enriched ringoids and schemes
Grigory Garkusha
The Ziegler spectrum for categories enriched in closed symmetric monoidal Grothendieck categories is defined and studied in this paper. It recovers the classical Ziegler spectrum o…
Correspondences and stable homotopy theory
Grigory Garkusha
A general method of producing correspondences and spectral categories out of symmetric ring objects in general categories is given. As an application, stable homotopy theory of spe…
Semilocal Milnor K-theory
Grigory Garkusha
In this paper, semilocal Milnor -theory of fields is introduced and studied. A strongly convergent spectral sequence relating semilocal Milnor -theory to semilocal motivic co…