2-vector bundles

Abstract: I will introduce the notion of 2-vector bundles, which are a categorified version of vector bundles. This notion is based on the idea that the bicategory of 2-vector spaces is the bicategory of algebras, bimodules, and intertwiners. I will recall the definition of that bicategory, which leads into the definition of 2-vector bundles. As time permits, I will discuss connections to string geometry, and extended TQFT, and classifying results. This is all based on work with Matthias Ludewig and Konrad Waldorf.

mathematical physicsalgebraic topologycategory theoryquantum algebra

Audience: researchers in the topic

Topological Quantum Field Theory Club (IST, Lisbon)

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