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

Published 2 Feb 2021 in math.KT, math.AG, math.AT, and math.CT | (2102.01566v1)

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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Authors (1)

  1. Andrey Konovalov 

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