Some homology lens spaces which bound rational homology balls.
Some homology lens spaces which bound rational homology balls.
复制标题
DOI：
10.2140/pjm.1981.96.23
复制
发表时间：
1981-09
影响因子：
0.6
通讯作者：
A. Casson;J. Harer
中科院分区：
文献类型：
--
作者：
A. Casson;J. Harer
同调透镜空间是光滑闭的3-manif old M*，对所有k(p为非负整数)有HK(M&)-HK(L(p，L))。当p-1M是同调的3-球面时。这些同调透镜空间中的哪一个定义了有理同调球，哪个同调3-球面定义了可压缩流形是一个悬而未决的问题。在这篇笔记中，我们回答了某些Seifert纤维空间的问题，每个空间都有三种特殊的纤维。
A homology lens space is a smooth closed 3-manif old M* with Hk(M &)—Hk(L(p,l)) for all k (p some nonnegative integer). When p—1 M is a homology 3-sphere. It is an open question which of these homology lens spaces bound rational homology balls and of special interest which homology 3-spheres bound contractible manifolds. In this note we answer this question for certain Seifert fibre spaces, each with three exceptional fibres.