Homotopy Quantum Field Theory (HQFT) is a branch of Topological Quantum Field Theory founded by E. Witten and M. Atiyah. It applies ideas from theoretical physi

This book provides a general and powerful definition of homotopy algebraic quantum field theory and homotopy prefactorization algebra using a new coend definiti

These lectures recount an application of stable homotopy theory to a concrete problem in low energy physics: the classification of special phases of matter. Whi

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

This first volume develops factorization algebras with a focus upon examples exhibiting their use in field theory, which will be useful for researchers and grad