English

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

Geometric Topology 2025-10-02 v1

Abstract

We prove that Khovanov homology is an invariant of links in unparametrized RP3\mathbb{RP}^3's, i.e., oriented 33-manifolds diffeomorphic to RP3\mathbb{RP}^3. Along the way, we establish the functoriality of Khovanov homology for link cobordisms in I×RP3I\times\mathbb{RP}^3.

Keywords

Cite

@article{arxiv.2510.00109,
  title  = {Intrinsic Khovanov homology in $\mathbb{RP}^3$},
  author = {Qiuyu Ren and Hongjian Yang},
  journal= {arXiv preprint arXiv:2510.00109},
  year   = {2025}
}

Comments

16 pages, many figures. Comments are welcome!