Claremont Topology Seminar: Julian Chaidez (USC)

Title: Quantum 4-Manifold Invariants Via Trisections

Abstract: I will describe a new family of potentially non-semisimple invariants for compact a 4-manifold whose boundary is equipped with an open book. The invariant is computed using a trisection, along with some additional combing data, and a piece of algebraic data called a Hopf triple. The relationship with other recent works on non-semisimple 4-manifold invariants, like the work of Costantino-Geer-Patureau-Mirand-Virelizier, is not yet clear. This talk is based on joint work with Shawn Cui (Purdue) and Jordan Cotler (Harvard).