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arXiv 1812.04523math.ATmath.SG
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内爆截面

Imploded cross-sections

Lisa Jeffrey, Sina Zabanfahm

摘要:

在这篇综述文章中,我们描述了内爆截面,这是为了解决的问题,哈密尔顿$K$ -空间的截面通常是不辛的。在一些具体的例子中,我们对比了一些内爆截面的交同调与它们的同调交空间。此外,我们还计算了与单连通、光滑、定向流形的开锥相关的交空间的同调,以及这种流形的悬挂。

英文摘要:

In this survey article, we describe imploded cross-sections, which were developed in order to solve the problem that the cross-section of a Hamiltonian $K$-space is usually not symplectic. In some specific examples we contrast the intersection homology of some imploded cross-sections with their homology intersection spaces. Moreover, we compute the homology of intersection spaces associated to the open cone of a simply connected, smooth, oriented manifold and the suspension of such a manifold.

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。

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