K. Chan

activity

20172024

collaborators

3 papers

math.DG2024

Survey on the Canonical Metrics on the Teichmüller Spaces and the Moduli Spaces of Riemann Surfaces

Edisy Kin Wai Chan

This thesis results from an intensive study on the canonical metrics on the Teichmüller spaces and the moduli spaces of Riemann surfaces. There are several renowned classical metri…

math.DG2018

The $L_{B}$ -cohomology on compact torsion-free $G_{2}$ manifolds and an application to 'almost' formality

Ki Fung Chan, Spiro Karigiannis, Chi Cheuk Tsang

We study a cohomology theory $H_{φ}^{∙}$ , called the $L_{B}$ -cohomology, on compact torsion-free $G_{2}$ -manifolds. We show that $H_{φ}^{k} ≅ H_{dR}^{k}$ f…

math.DG2017

Cohomologies on almost complex manifolds and the $\partial \partial ˉ$ -lemma

Ki Fung Chan, Spiro Karigiannis, Chi Cheuk Tsang

We study cohomologies on an almost complex manifold $(M, J)$ , defined using the Nijenhuis-Lie derivations $L_{J}$ and $L_{N}$ induced from the almost complex struct…

Survey on the Canonical Metrics on the Teichmüller Spaces and the Moduli Spaces of Riemann Surfaces

The LB​-cohomology on compact torsion-free G2​ manifolds and an application to 'almost' formality

Cohomologies on almost complex manifolds and the ∂∂ˉ-lemma

The $L_{B}$ -cohomology on compact torsion-free $G_{2}$ manifolds and an application to 'almost' formality

Cohomologies on almost complex manifolds and the $\partial \partial ˉ$ -lemma