English

End Khovanov homology and exotic Lagrangian planes

Geometric Topology 2025-10-02 v1 Symplectic Geometry

Abstract

In this paper, we define the end Khovanov homology, which is an invariant of properly embedded surfaces in 4-space up to ambient diffeomorphism. Moreover, we apply this invariant to detect the first known examples of exotic Lagrangian and symplectic planes in 4-space.

Keywords

Cite

@article{arxiv.2510.01151,
  title  = {End Khovanov homology and exotic Lagrangian planes},
  author = {Yikai Teng},
  journal= {arXiv preprint arXiv:2510.01151},
  year   = {2025}
}