Symplectic semi-characteristics
Abstract
We define and study the symplectic semi-characteristic of a closed 4n-dimensional symplectic manifold, based on the even-degree part of the primitive cohomology.Using a vector field with nondegenerate zero points, we prove a counting formula for the symplectic semi-characteristic.As corollaries of the counting formula, we obtain a vanishing property and the fact that the definition of the symplectic semi-characteristic is independent of the choice of symplectic forms.
Fields of Study & Subjects
Quantum chaos and dynamical systems
Control and Stability of Dynamical Systems
Publication details
- Journal / source
- Pacific Journal of Mathematics
- Publisher
- Mathematical Sciences Publishers
- Volume
- 343
- Issue
- 2
- Pages
- 485–507
- Publication date
- 22 May 2026
- Language
- EN