拟投射三流形群与三流形的复化
Quasiprojective three-manifold groups and complexification of three-manifolds
摘要:
我们刻画了紧致$3$ -流形(有边界或无边界)的基本群形式的拟投射群。我们还刻画了所有的封闭$3$ -流形,承认良好的复化。这些回答了Friedl-Suciu、\cite{fs}和Totaro \cite{tot}的问题
英文摘要:
We characterize the quasiprojective groups that appear as fundamental groups of compact $3$-manifolds (with or without boundary). We also characterize all closed $3$-manifolds that admit good complexifications. These answer questions of Friedl--Suciu, \cite{fs}, and Totaro \cite{tot}
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