On the dynamics characterization of complex projective spaces

Abstract

We show that a closed weakly-monotone symplectic manifold of dimension $2n$ which has minimal Chern number greater than or equal to $n+1$ and admits a Hamiltonian toric pseudo-rotation is necessarily monotone and its quantum homology is isomorphic to that of the complex projective space. As a consequence when $n=2$, the manifold is symplectomorphic to $\mathbb{C}{P}^2$.

7 pages

References in corpus (2)

• Hamiltonian Pseudo-rotations of Projective Spaces
• Pseudo-rotations vs. Rotations