Writings

Preprints

2. Infinite order corks that admit Stein structures

preprint (2026)

We construct an infinite family of infinite order corks admitting Stein structures. This answers a question raised by Akbulut and Gompf. (arxiv)

Videos showing the handle calculus and the isotopy.

1. End Khovanov homology and exotic Lagrangian planes

preprint (2025)

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. (arxiv)