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Arnold’s conjecture and symplectic reduction

Ibort, A. and Martínez Montalba, Celia (1996) Arnold’s conjecture and symplectic reduction. Journal of geometry and physics, 18 (1). pp. 25-37. ISSN 0393-0440

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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.

Item Type:Article
Uncontrolled Keywords:symplectic reduction; critical points; Arnold’s conjecture
Subjects:Sciences > Mathematics > Mathematical analysis
Sciences > Mathematics > Differential equations
ID Code:16829

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