Assembly of constructible factorization algebras

Abstract: The theory of factorization algebras, and particularly that of constructible factorization algebras, is expected to be very well behaved. For example, it has long been “known” that the assignment taking a stratified manifold to its category of constructible factorization algebras satisfies gluing, i.e., is itself a sheaf. Unfortunately, this and other related facts about factorization algebras have long been “folklore knowledge”, but with no proofs available.

In this talk I will report on recent work with Eilind Karlsson and Claudia I. Scheimbauer, where we close some of these gaps in the literature, including the aforementioned gluing result.

mathematical physicsalgebraic topologycategory theoryquantum algebra

Audience: researchers in the topic

Topological Quantum Field Theory Club (IST, Lisbon)

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