Yau, Donald

Homotopical quantum field theory / Donald Yau - Singapore World Scientific 2020 - 298 p.

This book provides a general and powerful definition of homotopy algebraic quantum field theory and homotopy factorization algebra using a new coend definition of the Boardman-Vogt construction for a coloured operad. All of their homotopy coherent structures are explained in detail, along with a comparison between the two approaches at the operad level. With chapters on basic category theory, trees, and operads, this book is self-contained and is accessible to graduate students.

9789811212857


Quantum field theory--Mathematics
Homotopy theory
Operads
Algebra, Homological
Homology theory

530.143 YAU-D