English

Symplectic Parabolicity and L^2 Symplectic Harmonic Forms

Symplectic Geometry 2018-07-20 v3

Abstract

In this paper, we study the symplectic cohomologies and symplectic harmonic forms which introduced by Tseng and Yau. Based on this, we get if (M2n,ω)(M^{2n},\omega) is a compact symplectic parabolic manifold which satisfies the hard Lefschetz property, then its Euler number satisfies the inequality (1)nχ(M)0(-1)^n\chi(M)\geq 0.

Keywords

Cite

@article{arxiv.1602.08221,
  title  = {Symplectic Parabolicity and L^2 Symplectic Harmonic Forms},
  author = {Qiang Tan and Hongyu Wang and Jiuru Zhou},
  journal= {arXiv preprint arXiv:1602.08221},
  year   = {2018}
}
R2 v1 2026-06-22T12:58:23.432Z