A counterexample to vanishing conjectures for negative K-theory

Amnon Neeman

doi:10.1007/s00222-021-01034-4

A counterexample to vanishing conjectures for negative K-theory

Amnon Neeman^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

8 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 language	English
Pages (from-to)	427-452
Number of pages	26
Journal	Inventiones Mathematicae
Volume	225
Issue number	2
DOIs	https://doi.org/10.1007/s00222-021-01034-4
Publication status	Published - Aug 2021

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10.1007/s00222-021-01034-4

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title = "A counterexample to vanishing conjectures for negative K-theory",

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.",

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AB - 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.

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A counterexample to vanishing conjectures for negative K-theory

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