%0 Journal Article %A Ibort, A. %A Martínez Ontalba, Celia %T Arnold’s conjecture and symplectic reduction %D 1996 %@ 0393-0440 %U https://hdl.handle.net/20.500.14352/57636 %X Fortune (1985) proved Arnold's conjecture for complex projective spaces, by exploiting the fact that CPn-1 is a symplectic quotient of C-n. In this paper, we show that Fortune's approach is universal in the sense that it is possible to translate Arnold's conjecture on any closed symplectic manifold (Q,Omega) to a critical point problem with symmetry on loops in R(2n) With its Standard symplectic structure. %~