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6 papers
Blow-up formulae for twisted cohomologies with supports
Lingxu Meng
We study twisted cohomologies with paracompactifying families of supports. The Kunneth theorems, Leray-Hirsch theorems and self-intersection formulae are established. Based on thes…
Spin Solitons in Spin-1 Bose-Einstein Condensates
Ling-Zheng Meng, Yan-Hong Qin, Li-Chen Zhao
Solitons in multi-component Bose-Einstein condensates have been paid much attention, due to the stability and wide applications of them. The exact soliton solutions are usually obt…
Hypercohomologies of truncated twisted holomorphic de Rham complexes
Lingxu Meng
We investigate the hypercohomologies of truncated twisted holomorphic de Rham complexes on (not necessarily compact) complex manifolds. In particular, we generalize Leray-Hirsch, K…
Mayer-Vietoris systems and their applications
Lingxu Meng
We introduce notions such as cdp presheaf, cds precosheaf, Mayer-Vietoris system, and investigate their properties. As applications, we study cohomologies with values in local syst…
Complex Balanced Spaces
Jixiang Fu, Lingxu Meng, Wei Xia
In this paper, the concept of balanced manifolds is generalized to reduced complex spaces: the class B and balanced spaces. Compared with the case of Kahlerian, the class B is simi…
Morse-Novikov cohomology on complex manifolds
Lingxu Meng
We view Dolbeault-Morse-Novikov cohomology H^{p,q}_η(X) as the cohomology of the sheaf Ω_{X,η}^p of η-holomorphic p-forms and give several bimeromorphic invariants. Analogue to Dol…