Bott, Raoul Equivariant Morse theory and the Yang-Mills equation on Riemann surfaces. (English) Zbl 0492.58011 Differential geometry, Proc. int. Chern Symp., Berkeley 1979, 11-22 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 Documents MSC: 58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces 57R70 Critical points and critical submanifolds in differential topology 57S15 Compact Lie groups of differentiable transformations 55R35 Classifying spaces of groups and \(H\)-spaces in algebraic topology 81T08 Constructive quantum field theory 14H40 Jacobians, Prym varieties Keywords:Yang-Mills functional for U(n)-bundles over compact Riemann surface; Jacobian; moduli space of semi-stable bundles; equivariant perfect Morse function; Poincare polynomial of the space of critical points; indices of critical points Citations:Zbl 0443.00012 PDFBibTeX XML