Intrinsic Khovanov homology in RP³

Q: What type of study is this?

This is a Quantitative Study study.

Qiuyu Ren; Hongjian Yang

doi:10.48550/arxiv.2510.00109

September 30, 2025Open Access

Intrinsic Khovanov homology in RP³

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Key Points

Khovanov homology serves as an invariant for links in unparametrized RP3's.
The study confirms the functoriality of Khovanov homology for link cobordisms within I x RP3.
This work advances the understanding of 3-manifolds and their topological properties.
The findings have implications for further research in knot theory and manifold invariants.

Implication

Research demonstrates Khovanov homology's role as an invariant for links, highlighting functoriality for link cobordisms in RP3.

Abstract

We prove that Khovanov homology is an invariant of links in unparametrized RP³'s, i.e., oriented $3$-manifolds diffeomorphic to RP³. Along the way, we establish the functoriality of Khovanov homology for link cobordisms in I³.

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Cite This Study

Ren et al. (2025) studied this question.

synapsesocial.com/papers/68e22da774308421369af10e https://doi.org/10.48550/arxiv.2510.00109

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Intrinsic Khovanov homology in RP³

Key Points

Implication

Abstract

Discussion

Cite This Study

Intrinsic Khovanov homology in RP³

Key Points

Implication

Abstract

Discussion

Cite This Study

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