Generalized non-commutative degeneration conjecture
Algebraic Geometry
2025-02-10 v1 K-Theory and Homology
Abstract
In this paper we propose a generalization of the Kontsevich--Soibelman conjecture on the degeneration of Hochschild-to-cyclic spectral sequence for smooth and compact DG category. Our conjecture states identical vanishing of a certain map between bi-additive invariants of arbitrary small DG categories over a field of characteristic zero. We show that this generalized conjecture follows from the Kontsevich--Soibelman conjecture and the so--called conjecture on smooth categorical compactification.
Cite
@article{arxiv.1506.00311,
title = {Generalized non-commutative degeneration conjecture},
author = {Alexander I. Efimov},
journal= {arXiv preprint arXiv:1506.00311},
year = {2025}
}
Comments
11 pages, no figures; to appear in Trudy MIAN