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arXiv · 2402.15716

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

Hongjian Yang
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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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Hongjian Yang. 2025-09-30. Instantons and Khovanov homology in $\mathbb{RP}^3$. https://doi.org/10.1090/tran%2F9405

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