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- W4313854764 abstract "We construct the strong weight complex functor (in the sense of Bondarko) for a stable infinity-category $underline{C}$ equipped with a bounded weight structure $w$. Along the way we prove that $underline{C}$ is determined by the infinity-categorical heart of $w$. This allows us to compare the K-theory of $underline{C}$ and the K-theory of $underline{Hw}$, the classical heart of $w$. In particular, we prove that $operatorname{K}_{n}(underline{C}) to operatorname{K}_{n}(underline{Hw})$ are isomorphisms for $n le 0$." @default.
- W4313854764 created "2023-01-10" @default.
- W4313854764 creator A5063985021 @default.
- W4313854764 date "2017-05-22" @default.
- W4313854764 modified "2023-09-30" @default.
- W4313854764 title "Theorem of the heart in negative K-theory for weight structures" @default.
- W4313854764 doi "https://doi.org/10.48550/arxiv.1705.07995" @default.
- W4313854764 hasPublicationYear "2017" @default.
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