Trisections in colored tensor models

  • Riccardo Martini

    Okinawa Institute of Science and Technology, Graduate University, Japan
  • Reiko Toriumi

    Okinawa Institute of Science and Technology, Graduate University, Onna, Japan
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Abstract

We give a procedure to construct trisections for closed 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 give a description of how trisection diagrams can arise from colored tensor model graphs for closed 4-manifolds. We further speculate on generalization of similar constructions for a class of singular-manifolds generated by simplicial colored tensor models.

Cite this article

Riccardo Martini, Reiko Toriumi, Trisections in colored tensor models. Ann. Inst. Henri Poincaré Comb. Phys. Interact. 11 (2024), no. 3, pp. 453–502

DOI 10.4171/AIHPD/167