English

Exotic 4-manifolds with small trisection genus

Geometric Topology 2025-05-20 v3

Abstract

We show that there exists an exotic pair of 44-manifolds with boundary whose trisection genera are 44. We also construct genus-33 relative trisections for an infinite family of contractible 44-manifolds introduced by Akbulut and Kirby.

Keywords

Cite

@article{arxiv.2308.00482,
  title  = {Exotic 4-manifolds with small trisection genus},
  author = {Natsuya Takahashi},
  journal= {arXiv preprint arXiv:2308.00482},
  year   = {2025}
}

Comments

18 pages, 22 figures, exposition improved, figures added and modified, error in Figure 18 corrected, published in Topology and its Applications

R2 v1 2026-06-28T11:45:28.261Z