### Abstract

Mogami introduced in 1995 a large class of triangulated 3-dimensional pseudomanifolds, henceforth called “Mogami pseudomanifolds”. He proved an exponential bound for the size of this class in terms of the number of tetrahedra. The question of whether all 3-balls are Mogami has remained open since; a positive answer would imply a much-desired exponential upper bound for the total number of 3-balls (and 3-spheres) with N tetrahedra. Here we provide a negative answer: many 3-balls are not Mogami. On the way to this result, we characterize the Mogami property in terms of nuclei, in the sense of Collet–Eckmann–Younan: “The only three-dimensional Mogami nucleus is the tetrahedron”.

Original language | English (US) |
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Pages (from-to) | 541-559 |

Number of pages | 19 |

Journal | Nuclear Physics B |

Volume | 919 |

DOIs | |

State | Published - Jun 1 2017 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics