Distinguishing diffeomorphism types of relative trisections

Natsuya Takahashi

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arXiv · 2602.14151

Distinguishing diffeomorphism types of relative trisections

Natsuya Takahashi

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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.

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Natsuya Takahashi. 2026-02-15. Distinguishing diffeomorphism types of relative trisections. https://arxiv.org/abs/2602.14151

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