A counterexample to vanishing conjectures for negative K-theory

Amnon Neeman*

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    7 Citations (Scopus)

    Abstract

    In a 2006 article Schlichting conjectured that the negative K–theory of any abelian category must vanish. This conjecture was generalized in a 2019 article by Antieau, Gepner and Heller, who hypothesized that the negative K–theory of any category with a bounded t–structure must vanish. Both conjectures will be shown to be false.

    Original languageEnglish
    Pages (from-to)427-452
    Number of pages26
    JournalInventiones Mathematicae
    Volume225
    Issue number2
    DOIs
    Publication statusPublished - Aug 2021

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