Huijun Yang

activity

20162020

collaborators

5 papers

math.SG2020

The existence of contact structures on 9-manifolds

Diarmuid Crowley, Huijun Yang

We give necessary and sufficient conditions for a closed orientable 9-manifold M to admit an almost contact structure. The conditions are stated in terms of the Stiefel-Whitney cla…

math.AT2020

Topological classification of complex vector bundles over $8$ -dimensional spin $^{c}$ manifolds

Huijun Yang

In this paper, complex vector bundles of rank $r$ over $8$ -dimensional spin $^{c}$ manifolds are classified in terms of the Chern classes of the complex vector bundles and the cohom…

math.DG2018

Connected sums of almost complex manifolds

Huijun Yang

In this paper, firstly, for some $4 n$ -dimensional almost complex manifolds $M_{i}, 1 \leq i \leq α$ , we prove that $\left(\sharp_{i=1}^α M_{i}\right) \sharp (α{-}1) \mathbb{C} P^{2n}…

math.DG2018

Stable almost complex structures on certain $10$ -manifolds

Huijun Yang

Let $M$ be a $10$ -dimensional closed oriented smooth manifold. Set $D_{M} := {x \in H^{2} (M; Z /2) ∣ x^{2} + w_{2} (M) x \in ρ_{2} (T H^{4} (M; Z))} .$ Suppose tha…

math.AT2016

Some remarks on stable almost complex structures on manifolds

Huijun Yang

Let $X$ be an $(8 k + i)$ -dimensional pathwise connected $C W$ -complex with $i = 1$ or $2$ and $k \geq 0$ , $ξ$ be a real vector bundle over $X$ . Suppose that $ξ$ admits a stable complex str…

The existence of contact structures on 9-manifolds

Topological classification of complex vector bundles over 8-dimensional spinc manifolds

Connected sums of almost complex manifolds

Stable almost complex structures on certain 10-manifolds

Some remarks on stable almost complex structures on manifolds

Topological classification of complex vector bundles over $8$ -dimensional spin $^{c}$ manifolds

Stable almost complex structures on certain $10$ -manifolds