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Instantons and Khovanov homology in $\mathbb{RP}^3$

Published 24 Feb 2024 in math.GT | (2402.15716v1)

Abstract: We study the instanton Floer homology for links in $\mathbb{RP}3$ and compute the second page of Kronheimer--Mrowka's spectral sequence. As an application, we show that Khovanov homology detects the unknot and the projective unknot in $\mathbb{RP}3$.

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