English

Trisections in colored tensor models

Mathematical Physics 2021-11-10 v2 General Relativity and Quantum Cosmology High Energy Physics - Theory math.MP

Abstract

We give a procedure to construct (quasi-)trisection diagrams for closed (pseudo-)manifolds generated by colored tensor models without restrictions on the number of simplices in the triangulation, therefore generalizing previous works in the context of crystallizations and PL-manifolds. We further speculate on generalization of similar constructions for a class of pseudo-manifolds generated by simplicial colored tensor models.

Cite

@article{arxiv.2110.06659,
  title  = {Trisections in colored tensor models},
  author = {Riccardo Martini and Reiko Toriumi},
  journal= {arXiv preprint arXiv:2110.06659},
  year   = {2021}
}

Comments

30 pages, 22 figures. Version 2: new references added

R2 v1 2026-06-24T06:51:24.695Z