Youming Chen

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math.DG2021

Quantization for biharmonic maps from non-collapsed degenerating Einstein 4-manifolds

Youmin Chen, Miaomiao Zhu

For a sequence of extrinsic or intrinsic biharmonic maps $u_{j} : M_{j} \to N$ from a sequence of non-collapsed degenerating closed Einstein 4-manifolds $(M_{j}, g_{j})$ with bounded…

math.DG2018

On the blow-up formula of twisted de Rham cohomology

Youming Chen, Song Yang

We derive a blow-up formula for the de Rham cohomology of a local system of complex vector spaces on a compact complex manifold. As an application, we obtain the blow-up invariance…