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arXiv · 2102.01566

Nilpotent invariance of semi-topological K-theory of dg-algebras and the lattice conjecture

Andrey Konovalov
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Abstract

We show existence of a natural rational structure on periodic cyclic homology, conjectured by L. Katzarkov, M. Kontsevich, T. Pantev, for several classes of dg-categories, including proper connective $\mathbb{C}$-dg-algebras and dg-categories of local systems. The main ingredient is derived nilpotent invariance of A. Blanc's semi-topological K-theory, which we establish along the way.

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Andrey Konovalov. 2021-02-02. Nilpotent invariance of semi-topological K-theory of dg-algebras and the lattice conjecture. https://arxiv.org/abs/2102.01566

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