2016/02/01 by Alberto S. Cattaneo, Pavel Mnëv, Pavel Mnev +4
Mathematics · Physics and Astronomy · #Algebraic Topology (math.AT) #Black Holes and Theoretical Physics #FOS: Mathematics #FOS: Physical sciences #Geometric Topology (math.GT) #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories #hep-th #math-ph #math.AT #math.GT #math.MP
paper · pdf · doi:10.48550/arxiv.1602.00741
8 pages, 1 figure. (Ver. 2 has a figure added and some typos corrected.)
openalex publication_date 2016/02/01 · arxiv created 2016/02/06 · arxiv updated 2016/02/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This is a survey of our program of perturbative quantization of gauge theories on manifolds with boundary compatible with cutting/pasting and with gauge symmetry treated by means of a cohomological resolution (Batalin-Vilkovisky) formalism. We also give two explicit quantum examples -- abelian BF theory and the Poisson sigma model. This exposition is based on a talk by P.M. at the ICMP 2015 in Santiago de Chile.