H. Duan

collaborators

2 papers

math.GT2024

Circle actions and Suspension operations on Smooth manifolds

Haibao Duan

Let $M$ be a smooth manifold with $dim M \geq 3$ and a base point $x_{0}$ . Surgeries along the oriented circle $S^{1} \times {x_{0}}$ on the product $S^{1} \times M$ yields two ma…

math.AT2024

The cohomology of projective unitary groups

Haibao Duan

The projective unitary group PU(n) is the quotient of the unitary group U(n) by its center. We compute the integral cohomology ring of PU(n) using explicit constructed generators.