Nielsen equivalence and multisections of 4-manifolds

Tsukasa Isoshima; Masaki Ogawa

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arXiv · 2401.15822

Nielsen equivalence and multisections of 4-manifolds

Tsukasa Isoshima·Masaki Ogawa

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Abstract

Islambouli showed that there exist infinitely many 4-manifolds admitting non-isotopic trisections using a Nielsen equivalence, which can be used to construct non-isotopic Heegaard splittings. In this paper, we show that there exist infinitely many 4-manifolds admitting non-isotopic bisections in the same way. Moreover, we show that there exist infinitely many 4-manifolds admitting non-isotopic 4-sections by considering the doubles of the bisections.

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Tsukasa Isoshima, Masaki Ogawa. 2024-01-29. Nielsen equivalence and multisections of 4-manifolds. https://arxiv.org/abs/2401.15822

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