This thesis describes a new connection between algebraic geometry, topology, number theory and quantum field theory. It offers a pedagogical introduction to alg

This volume contains lectures from the Graduate Summer School “Quantum Field Theory and Manifold Invariants” held at Park City Mathematics Institute 2019. T

This book reviews recent results on low-dimensional quantum field theories and their connection with quantum group theory and the theory of braided, balanced te

The remarkable developments in differential topology and how these recent advances have been applied as a primary research tool in quantum field theory are pres

The emergence of topological quantum ?eld theory has been one of the most important breakthroughs which have occurred in the context of ma- ematical physics in