31 citations · 61 across the 10 of their papers we have counts for
10 papers
Spectral algebras and non-commutative Hodge-to-de Rham degeneration
D. Kaledin, A. Konovalov, K. Magidson
We revisit the non-commutative Hodge-to-de Rham Degeneration Theorem of the first author, and present its proof in a somewhat streamlined and improved form that explicitly uses spe…
Trace theories and localization
D. Kaledin
We show how one can twist the definition of Hochschild homology of an algebra or a DG algebra by inserting a possibly non-additive trace functor. We then prove that many of the usu…
Cartier isomorphism and Hodge Theory in the non-commutative case
D. Kaledin
These are lecture notes from Clay Summer School in Goettingen, in 2006; the lectures were an attempt at an elementary introduction to math.KT/0611623.
Hochschild homology and Gabber's Theorem
D. Kaledin
Gabber's Theorem claims that the singular support of a D-module is involutive. We show how to give a conceptually clear proof of this in the context of Hochschild Homology and Coho…
Geometry and topology of symplectic resolutions
D. Kaledin
This is an overview of math.AG/0310186, math.AG/0309290, math.AG/0501247, math.AG/0401002 and math.AG/0504584 written for the Proceedings of the AMS Meeting on Algebraic Geometry,…
Non-commutative Cartier operator and Hodge-to-de Rham degeneration
D. Kaledin
We introduce a version of the Cartier isomorphism for de Rham cohomology valid for associative, not necessarily commutative algebras over a field of positive characteristic. Using…