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

Natsuya Takahashi

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arXiv · 2406.03113

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

Natsuya Takahashi

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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.

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Natsuya Takahashi. 2024-06-05. Non-diffeomorphic minimal genus relative trisections of the same 4-manifold. https://arxiv.org/abs/2406.03113

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