论文标题
3个manifolds和VAFA理论
3-manifolds and Vafa-Witten theory
论文作者
论文摘要
我们启动了3个manifolds的VAFA字体不变性的明确计算，在唐纳森理论的背景下类似于浮动组。特别是，我们明确计算了与各种手术操作有关的一系列混凝土示例中的3个manifolds的VAFA - 字体不变的剂（Gluck Twist，结，结，对数转换）。我们还描述了预计将持有的结构特性，这些特性将对一般的3个manifolds，包括模块化组的作用，与浮动同源性的关系，无限二维性的关系，用于任意3型manifold以及instantons的缺失。
We initiate explicit computations of Vafa-Witten invariants of 3-manifolds, analogous to Floer groups in the context of Donaldson theory. In particular, we explicitly compute the Vafa-Witten invariants of 3-manifolds in a family of concrete examples relevant to various surgery operations (the Gluck twist, knot surgeries, log-transforms). We also describe the structural properties that are expected to hold for general 3-manifolds, including the modular group action, relation to Floer homology, infinite-dimensionality for an arbitrary 3-manifold, and the absence of instantons.
