Non-diffeomorphic minimal genus relative trisections of the same 4-manifold

Natsuya Takahashi

Non-diffeomorphic minimal genus relative trisections of the same 4-manifold

Geometric Topology 2024-06-06 v1

Authors: Natsuya Takahashi

Abstract

We show the existence of a $4$ -manifold with boundary that admits two non-diffeomorphic minimal genus relative trisections of the same $(g,k;p,b)$ -type. To prove this, we introduce a simple operation that produces a trisection diagram of a closed $4$ -manifold from a relative trisection diagram.

Keywords

4-manifold relative trisection minimal genus non-diffeomorphic trisection diagram

Cite

@article{arxiv.2406.03113,
  title  = {Non-diffeomorphic minimal genus relative trisections of the same 4-manifold},
  author = {Natsuya Takahashi},
  journal= {arXiv preprint arXiv:2406.03113},
  year   = {2024}
}

Comments

11 pages, 10 figures

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