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Arnold’s conjecture and symplectic reduction
- Publication Year :
- 2023
-
Abstract
- 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.<br />CICYT<br />Depto. de Álgebra, Geometría y Topología<br />Fac. de Ciencias Matemáticas<br />TRUE<br />pub
Details
- Database :
- OAIster
- Notes :
- application/pdf, 0393-0440, English
- Publication Type :
- Electronic Resource
- Accession number :
- edsoai.on1413945732
- Document Type :
- Electronic Resource