19 citations · 68 across the 22 of their papers we have counts for
15 papers · 1 filter
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…
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…
Recollements for derived categories of enriched functors and triangulated categories of motives
Grigory Garkusha, Darren Jones
We investigate certain categorical aspects of Voevodsky's triangulated categories of motives. For this, various recollements for Grothendieck categories of enriched functors and th…
The triangulated categories of framed bispectra and framed motives
Grigory Garkusha, Ivan Panin
An alternative approach to the classical Morel-Voevodsky stable motivic homotopy theory is suggested. The triangulated category of framed bispectra and e…
Framed motives of relative motivic spheres
Grigory Garkusha, Alexander Neshitov, Ivan Panin
The category of framed correspondences and framed sheaves were invented by Voevodsky in his unpublished notes [V2]. Based on the theory, framed motives are introduced and…
Cancellation theorem for framed motives of algebraic varieties
Alexey Ananyevskiy, Grigory Garkusha, Ivan Panin
The machinery of framed (pre)sheaves was developed by Voevodsky [V1]. Based on the theory, framed motives of algebraic varieties are introduced and studied in [GP1]. An analog of V…