19 citations · 68 across the 22 of their papers we have counts for
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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…
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…
Framed motivic -spaces
Grigory Garkusha, Ivan Panin, Paul Arne Østvær
We combine several mini miracles to achieve an elementary understanding of infinite loop spaces and very effective spectra in the algebro-geometric setting of motivic homotopy theo…
Group schemes and motivic spectra
Grigory Garkusha
By a theorem of Mandell-May-Schwede-Shipley the stable homotopy theory of classical -spectra is recovered from orthogonal spectra. In this paper general linear, special linear…
Fibrant resolutions for motivic Thom spectra
Grigory Garkusha, Alexander Neshitov
Using the theory of framed correspondences developed by Voevodsky [24] and the machinery of framed motives introduced and developed in [6], various explicit fibrant resolutions for…