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arXiv · 2510.00109

Intrinsic Khovanov homology in $\mathbb{RP}^3$

Qiuyu Ren·Hongjian Yang
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Abstract

We prove that Khovanov homology is an invariant of links in unparametrized $\mathbb{RP}^3$'s, i.e., oriented $3$-manifolds diffeomorphic to $\mathbb{RP}^3$. Along the way, we establish the functoriality of Khovanov homology for link cobordisms in $I\times\mathbb{RP}^3$.

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Qiuyu Ren, Hongjian Yang. 2025-09-30. Intrinsic Khovanov homology in $\mathbb{RP}^3$. https://arxiv.org/abs/2510.00109

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