Notes on Factorization Algebras and TQFTs
Araminta Amabel

TL;DR
This paper introduces the role of factorization algebras in topological quantum field theories, exploring their connections with $ ext{E}_n$-algebras, vertex algebras, and the functorial approach to field theories.
Contribution
It provides an accessible overview of how factorization algebras relate to various algebraic structures in field theory, emphasizing their conceptual and practical significance.
Findings
Clarifies the relationship between factorization algebras and $ ext{E}_n$-algebras
Explores connections between factorization algebras and vertex algebras
Highlights the functorial perspective on topological quantum field theories
Abstract
These are notes from talks given at a spring school on topological quantum field theory in Nova Scotia during May of 2023. The aim is to introduce the reader to the role of factorization algebras and related concepts in field theory. In particular, we discuss the relationship between factorization algebras, -algebras, vertex algebras, and the functorial perspective on field theories.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology
