Symplectic fixed points and Lagrangian intersections on weighted projective spaces

Abstract

In this note we observe that Arnold conjecture for the Hamiltonian maps still holds on weighted projective spaces $\CP^n({\bf q})$, and that Arnold conjecture for the Lagrange intersections for $(\CP^n({\bf q}), \RP^n({\bf q}))$ is also true if each weight $q_i\in \mathbf{q}=\{q_1,...,q_{n+1}\}$ is odd.

Latex, 14 pages

Cited by in corpus (3)

• Quasi-morphisms on contactomorphism groups and contact rigidity
• On the degenerated Arnold-Givental conjecture
• Lagrangian intersections and a conjecture of Arnol'd