Families of contact 3-manifolds with arbitrarily large Stein fillings
Families of contact 3-manifolds with arbitrarily large Stein fillings
复制标题
具有任意大 Stein 填充物的接触 3 流形族
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
C. Wendl
中科院分区：
文献类型：
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作者：
R. Baykur;Jeremy Van Horn;S. Lisi;C. Wendl
我们证明存在大量的接触3流形族，其中每个成员都允许无限多个具有任意大欧拉特征和任意小签名的Stein填充-这反驳了Stipsicz和Ozbagci的一个猜想。为了产生我们的例子，我们设置了一个框架，该框架将2盘上允许Lefschetz振动上的Stein结构的构造推广到任何可定向基面上的结构，以及通过3流形上的打开书的接触结构的构造推广到[24]中介绍的脊柱打开书。
We show that there are vast families of contact 3-manifolds each member of which admits infinitely many Stein fillings with arbitrarily big euler characteristics and arbitrarily small signatures ---which disproves a conjecture of Stipsicz and Ozbagci. To produce our examples, we set a framework which generalizes the construction of Stein structures on allowable Lefschetz fibrations over the 2-disk to those over any orientable base surface, along with the construction of contact structures via open books on 3-manifolds to spinal open books introduced in [24].