English

Distinguishing diffeomorphism types of relative trisections

Geometric Topology 2026-02-17 v1

Abstract

We distinguish diffeomorphism types of relative trisections using a ``capping'' operation, which yields a trisection diagram of a closed 4-manifold from a relative trisection diagram. Using this operation, we give various examples of non-diffeomorphic relative trisections of the same 4-manifold with boundary. We also study how the corresponding trisected 4-manifold changes under the capping operation.

Keywords

Cite

@article{arxiv.2602.14151,
  title  = {Distinguishing diffeomorphism types of relative trisections},
  author = {Natsuya Takahashi},
  journal= {arXiv preprint arXiv:2602.14151},
  year   = {2026}
}

Comments

24 pages, 31 figures