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

Hongjian Yang

公開日: 2024/2/24

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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