Journal of Physics A: Mathematical and Theoretical ( IF 2.1 ) Pub Date : 2021-05-04 , DOI: 10.1088/1751-8121/abf769 Yale Fan
Using recently developed Seifert fibering operators for 3D gauge theories, we formulate the necessary ingredients for a state-integral model of the topological quantum field theory dual to a given Seifert manifold under the 3D–3D correspondence, focusing on the case of Seifert homology spheres with positive orbifold Euler characteristic. We further exhibit a set of difference operators that annihilate the wavefunctions of this TQFT on hyperbolic three-manifolds, generalizing similar constructions for lens space partition functions and holomorphic blocks. These properties offer intriguing clues as to the structure of the underlying TQFT.
中文翻译:
来自 Seifert 光纤操作员的 3D-3D 通信
使用最近开发的用于 3D规范理论的Seifert 纤维算子,我们制定了拓扑量子场论的状态积分模型的必要成分,该模型对 3D-3D 对应下的给定 Seifert 流形,重点是 Seifert 同调球体的情况正 orbifold Euler 特征。我们进一步展示了一组差分算子,它们在双曲三流形上消除了这个 TQFT 的波函数,概括了透镜空间分区函数和全纯块的类似构造。这些特性提供了有关底层 TQFT 结构的有趣线索。