M. Cheng

activity

20132021

most citedRepresentation spaces for central extensions and almost commuting unitary matrices

3 citations · 5 across the 4 of their papers we have counts for

collaborators

4 papers

math.DG2021

Singular metrics with negative scalar curvature

Man-Chuen Cheng, Man-Chun Lee, Luen-Fai Tam

Motivated by the work of Li and Mantoulidis, we study singular metrics which are uniformly Euclidean $(L^{\infty})$ on a compact manifold $M^{n}$ ( $n \geq 3$ ) with negative Yamabe invari…

math.RT2019

On the moduli spaces of commuting elements in the projective unitary groups

Alejandro Adem, Man Chuen Cheng

We provide descriptions for the moduli spaces $Rep (Γ, P U (m))$ , where $Γ$ is any finitely generated abelian group and $P U (m)$ is the group of $m \times m$ projective unitary m…

math.AT2015★ 3 cited

Representation spaces for central extensions and almost commuting unitary matrices

Alejandro Adem, Man Chuen Cheng

Let $Γ$ denote a central extension of the form $1 \to Z^{r} \to Γ \to Z^{n} \to 1$ . In this paper we describe the topology of the spaces of homomorphisms $\text{Hom}(Γ, U(…

math.AT2013★ 2 cited

Poincare duality in Morava K-theory for classifying spaces of orbifolds

Man Chuen Cheng

Greenlees and Sadofsky showed that the classifying spaces of finite groups are self-dual with respect to Morava K-theory K(n). Their duality map was constructed using a transfer ma…