Spectral sequences for cyclic homology
Algebraic Geometry
2016-01-05 v1 K-Theory and Homology
Abstract
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. Kontsevich and Y. Soibelman arXiv:math/0606241 and proved in arXiv:math/0611623 under a technical assumption. In this paper, the assumption is removed, and the argument is considerably simplified (in particular, it no longer uses Dold-Kan equivalence and simplicial methods). We also analyse the degeneration of the conjugate spectral sequence in positive caracteristic constructed in arXiv:1509.08784.
Cite
@article{arxiv.1601.00637,
title = {Spectral sequences for cyclic homology},
author = {D. Kaledin},
journal= {arXiv preprint arXiv:1601.00637},
year = {2016}
}
Comments
LaTeX2e, 37 pages