Yang–Mills theories on geometric spaces
DOI10.1142/S0129055X22300011zbMath1499.14092OpenAlexW3209915095MaRDI QIDQ5069293
Publication date: 8 April 2022
Published in: Reviews in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0129055x22300011
Morse theoryCalabi-Yau manifoldsYang-Mills theoryconnectionsChern-Simons functionalexceptional holonomyTQFT structures
Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Yang-Mills and other gauge theories in quantum field theory (81T13) Characteristic classes and numbers in differential topology (57R20) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Floer homology (57R58) Eta-invariants, Chern-Simons invariants (58J28) Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category (53D37) Finite-type and quantum invariants, topological quantum field theories (TQFT) (57K16) Invariants of 4-manifolds (including Donaldson and Seiberg-Witten invariants) (57K41)
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