纤维刚性
Rigidity of Fibering
摘要:
给定一个流形M,很自然地要问它以多少种方式纤维化(我们的意思是一般意义上的纤维化,其中基底可能是一个orbifold --这可以被描述为塞弗特纤维化)即使是一个纤维化的存在也有群论上的障碍,在某些情况下(如卡勒流形或三维流形),这个问题归结为一个群论问题。在本说明中,我们总结了作者对这一主题的了解情况。
英文摘要:
Given a manifold M, it is natural to ask in how many ways it fibers (we mean fibering in a general way, where the base might be an orbifold -- this could be described as Seifert fibering)There are group-theoretic obstructions to the existence of even one fibering, and in some cases (such as Kahler manifolds or three-dimensional manifolds) the question reduces to a group-theoretic question. In this note we summarize the author's state of knowledge of the subject.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。