Quantum Gravity and Random Geometry

Trisections in colored tensor models

19 janv. 2023, 15:50

30m

Amphithéâtre Hermite (Institut Henri Poincaré)

Orateur

Reiko Toriumi (OIST)

Description

We give a procedure to construct trisections for closed $4$-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.