10 citations · 20 across the 3 of their papers we have counts for
9 papers
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…
Framed and MW-transfers for homotopy modules
Alexey Ananyevskiy, Alexander Neshitov
In the paper we use the theory of framed correpondences to construct Milnor-Witt transfers on homotopy modules. As a consequence we identify the zeroth stable -homoto…
Relative equivariant motives and modules
Baptiste Calmès, Alexander Neshitov, Kirill Zainoulline
We introduce and study various categories of (equivariant) motives of (versal) flag varieties. We relate these categories with certain categories of parabolic (Demazure) modules. W…
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The category of framed correspondences and framed sheaves were invented by Voevodsky in his unpublished notes [V2].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…
Motivic decompositions of twisted flag varieties and representations of Hecke-type algebras
Alexander Neshitov, Victor Petrov, Nikita Semenov +1
Let G be a split semisimple linear algebraic group over a field k0. Let E be a G-torsor over a field extension k of k0. Let h be an algebraic oriented cohomology theory in the sens…
Framed correspondences and the Milnor-Witt K-theory
Alexander Neshitov
The article is to construct a graded ring isomorphism between and the Milnor-Witt K-theory ring , where $…