Trisections with Kirby-Thompson length 2

Masaki Ogawa

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arXiv · 2112.10033

Trisections with Kirby-Thompson length 2

Masaki Ogawa

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Abstract

Kirby and Thompson introduced a length of a trisection. They also defined the length of a 4-manifold as the minimum of length among all lengths of trisection of a 4-manifold. In this paper, we consider trisections whose Kirby-Thompson length is 2. Kirby and Thompson conjectured that length 2 trisection is a trisection of 4-manifold with length 0. We shall prove this conjecture in this paper.

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Masaki Ogawa. 2021-12-19. Trisections with Kirby-Thompson length 2. https://arxiv.org/abs/2112.10033

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