Mathematical Aspects of Quantum Field Theories (eBook)

A derived and homotopical view on field theories, Damien Calaque.- Part I Locality in Perturbative QFTs.- 2 Perturbative algebraic quantum field theory, Klaus Fredenhagen and Katarzyna Rejzner.- Lectures on mathematical aspects of (twisted) supersymmetric gauge theories, Kevin Costello and Claudia Scheimbauer.- 4 Snapshots of Conformal Field Theory, Katrin Wendland.- Part II Chern-Simons Theory.- Faddeev's quantum dilogarithm and state-integrals on shaped triangulations, Jørgen Ellegaard Andersen and Rinat Kashaev.- 6 A higher stacky perspective on Chern-Simons theory, Domenico Fiorenza, Hisham Sati and Urs Schreiber.- Factorization homology in 3-dimensional topology, Nikita Markarian & Hiro Lee Tanaka.- Manifoldic homology and Chern-Simons formalism (by Nikita Markarian).- Factorization Homology and Link Invariants (by Hiro Lee Tanaka).- Deligne-Beilinson cohomology in U(1) Chern-Simons theories, Frank Thuillier.- Part III (Semi-)Classical Field Theories.- Semiclassical quantization of classical field theories, Alberto S. Cattaneo, Pavel Mnev and Nicolai Reshetikhin.- Local BRST cohomology for AKSZ field theories: a global approach, Giuseppe Bonavolontà and Alexei Kotov.- Symplectic and Poisson geometry of the moduli spaces of at connections over quilted surfaces, David Li-Bland and Pavol Ševera.- Groupoids, Frobenius algebras and Poisson sigma models, Ivan Contreras.- Part IV Algebraic Aspects of Locality.- Notes on factorization algebras, factorization homology and applications, Grégory Ginot.- Index.