2 papers
math.AT2026
On the non-existence of almost complex structures on sphere bundles over complex projective spaces
Chengwan Liu, Huijun Yang
We study the existence of almost complex structures on even-dimensional sphere bundles over complex projective spaces. For bundles with fibre over $\mathbb{C} P…
math.AT2025
A Bilinear Form for Spin Manifolds
Huijun Yang
Let be a closed oriented spin manifold of dimension with fundamental class , and let $Ï_{2} \colon H^{4n}(M; \mathbb{Z}) \rightarrow H^{4n}(M; \mathbb{…