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math.SG2025
A vanishing property about the 1-filtered cohomology groups of (4n+2)-dimensional closed symplectic manifolds
Hao Zhuang
This note is a follow-up to our previous work arXiv:2505.14496. For any (4n+2)-dimensional closed symplectic manifold, we find that the dimension of the even-degree part of its 1-f…
math.SG2025★ 1 cited
Symplectic semi-characteristics
Hao Zhuang
We study the symplectic semi-characteristic of a closed 4n-dimensional symplectic manifold. First, using the even-degree part of the primitive cohomology, we define the symplectic…