论文标题
十二面体L空间和双曲线4个manifolds
Dodecahedral L-spaces and hyperbolic 4-manifolds
论文作者
论文摘要
我们证明，在29个理性同源性中，有6个由四个或更少的右角双曲线十二烷基的三个球体是L空间。所使用的算法基于Dunfield在Arxiv：1904.04628中提供的L空间普查，并取决于Rasmussen-Rasmussen Arxiv的结果：1508.05900。我们将这些歧管的存在与Martelli Arxiv：1510.06325一起使用，以构建含有分离L空间的双曲线4个杂音的明确实例，因此具有消失的Seiberg-Witten不变性。这回答了Agol和Lin在Arxiv中问的一个问题：1812.06536。
We prove that exactly 6 out of the 29 rational homology 3-spheres tessellated by four or less right-angled hyperbolic dodecahedra are L-spaces. The algorithm used is based on the L-space census provided by Dunfield in arXiv:1904.04628, and relies on a result by Rasmussen-Rasmussen arXiv:1508.05900. We use the existence of these manifolds together with a result of Martelli arXiv:1510.06325 to construct explicit examples of hyperbolic 4-manifolds containing separating L-spaces, and therefore having vanishing Seiberg-Witten invariants. This answers a question asked by Agol and Lin in arXiv:1812.06536.
