Minimal genus trisection diagrams of the elliptic surfaces $E(n)$ via handle diagrams

Tsukasa Isoshima

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arXiv · 2606.02159

Minimal genus trisection diagrams of the elliptic surfaces $E(n)$ via handle diagrams

Tsukasa Isoshima

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Abstract

Lambert-Cole and Meier showed that the elliptic surface $E(n)$ admits a $(12n-2,0)$-trisection, considering the property that $E(n)$ is a certain double branched cover of $S^2 \times S^2$, which is a minimal genus trisection. In this paper, we clarify a way to construct an explicit $(12n-2,0)$-trisection diagram of $E(n)$ from its handle diagram arising from its Lefschetz fibration.

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BibTeX RIS

Tsukasa Isoshima. 2026-06-01. Minimal genus trisection diagrams of the elliptic surfaces $E(n)$ via handle diagrams. https://arxiv.org/abs/2606.02159

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