9 citations · 18 across the 5 of their papers we have counts for
6 papers
Hochschild-Witt complex
D. Kaledin
In arxiv:1602.04254, we have defined polynomial Witt vectors functor from vector spaces over a perfect field of positive characteristic to abelian groups. In this paper, we…
Witt vectors as a polynomial functor
D. Kaledin
For every commutative ring , one has a functorial commutative ring of -typical Witt vectors of , an iterated extension of by itself. If is not commutative,…
Spectral sequences for cyclic homology
D. Kaledin
We prove that for a homologically smooth and proper DG algebra over a field of characteristic 0, the Hodge-to-de Rham spectral sequence degenerates. This has been conjectured by M.…
Bokstein homomorphism as a universal object
D. Kaledin
We give a simple construction of the correspondence between square-zero extensions of a ring by an -bimodule and second MacLane cohomology classes of with coeff…
Co-periodic cyclic homology
D. Kaledin
Following an old suggestion of M. Kontsevich, and inspired by recent work of A. Beilinson and B. Bhatt, we introduce a new version of periodic cyclic homology for DG agebras and DG…
Beilinson conjecture for finite-dimensional associative algebras
D. Kaledin
We propose a non-commutative generalization of Beilinson's Conjecture on the regulator map from algebraic K-theory to Deligne cohomology of algebraic varieties over Q. We also chec…