Factorization Homology in Topological Quantum Field Theory

Learn about factorization homology in this comprehensive lecture from David Ayala of Montana State University, delivered at the BIMSA-Tsinghua Quantum Symmetry Seminar. Explore how factorization homology serves as an abstract framework for organizing observables in Topological Quantum Field Theory (TQFT) by associating chain complexes with framed n-manifolds and rigid n-categories. Discover the fundamental features of factorization homology and their practical applications, including connections to quantum topology invariants like the Jones polynomial and Skein modules. Gain insights into both established theoretical foundations and speculative developments in this collaborative work with John Francis, understanding which aspects are well-documented in literature and which represent emerging frontiers in the field.