论文标题
COBORDISM，奇异性和Ricci流动猜想
Cobordism, Singularities and the Ricci Flow Conjecture
论文作者
论文摘要
在以下工作中，提出了分别提出了分别提出了分别介绍了Swampland距离猜想的改进和NO全局对称性猜想的猜想的试图和解RICCI流动猜想。这是从与琐碎的协同阶级合适的流形开始，将手术技术应用于Ricci流动奇异性，并通过引入适当的缺陷来实现手术技术和琐碎的共同连接组件的可结清类别。详细研究了$ω^{so} _4 $的具体示例。探索了炸毁一点点点的过程与使用$ \ mathbb {cp}^n $进行连接的总和的过程之间的连接。因此，研究$ k3 $的RICCI流量的问题是通过添加$ \ Mathbb {cp}^2 $的$ 16 $副本来忽略的，通过应用以前的各节中开发的技术以及在ADE组中的奇异性分类来解决。
In the following work, an attempt to conciliate the Ricci flow conjecture and the Cobordism conjecture, stated as refinements of the Swampland distance conjecture and of the No global symmetries conjecture respectively, is presented. This is done by starting from a suitable manifold with trivial cobordism class, applying surgery techniques to Ricci flow singularities and trivialising the cobordism class of one of the resulting connected components via the introduction of appropriate defects. The specific example of $Ω^{SO}_4$ is studied in detail. A connection between the process of blowing up a point of a manifold and that of taking the connected sum of such with $\mathbb{CP}^n$ is explored. Hence, the problem of studying the Ricci flow of a $K3$ whose cobordism class is trivialised by the addition of $16$ copies of $\mathbb{CP}^2$ is tackled by applying both the techniques developed in the previous sections and the classification of singularities in terms of ADE groups.
