Atiyah, Michael F.; Bott, Raoul The Yang-Mills equations over Riemann surfaces. (English) Zbl 0509.14014 Philos. Trans. R. Soc. Lond., A 308, 523-615 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 61 ReviewsCited in 748 Documents MSC: 14F05 Sheaves, derived categories of sheaves, etc. (MSC2010) 14D20 Algebraic moduli problems, moduli of vector bundles 32G15 Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) 58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces 14F10 Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials 81T08 Constructive quantum field theory 32G13 Complex-analytic moduli problems 32L05 Holomorphic bundles and generalizations Keywords:holomorphic bundles over compact Riemann surface; Betti numbers of moduli of stable vector bundles; gauge group; Yang-Mills functional; Morse theory; space of complex structures PDFBibTeX XMLCite \textit{M. F. Atiyah} and \textit{R. Bott}, Philos. Trans. R. Soc. Lond., Ser. A 308, 523--615 (1983; Zbl 0509.14014) Full Text: DOI