Kontsevich's deformation quantization and quantum field theory

DOI10.1007/978-3-031-05122-7zbMath1504.53003OpenAlexW4299560545MaRDI QIDQ2673449

Nima Moshayedi

Publication date: 9 June 2022

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-031-05122-7

zbMATH Keywords

symplectic geometrycohomologyquantum field theorydeformation quantizationcategoriesdifferential geometryquantum algebraoperadsPoisson geometryKontsevich's formalityCattaneo-Felder theoremKonstevich's deformation

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Noncommutative geometry methods in quantum field theory (81T75) Poisson manifolds; Poisson groupoids and algebroids (53D17) Deformation quantization, star products (53D55) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Symplectic field theory; contact homology (53D42) (infty)-operads and higher algebra (18N70)

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