所有一次扩展的三维拓扑量子场论（TQFT）均为Reshetikhin–Turaev理论
All once-extended 3D TQFTs are Reshetikhin--Turaev theories
AI总结：
该研究提出将Reshetikhin–Turaev TQFT扩展至圆范畴的直接几何构造，证明其与Bartlett等人的生成元-关系方法一致，替代了三维TQFT分类中的Cerf理论部分，得出所有一次扩展三维TQFT均为Reshetikhin–Turaev理论的结论
AI中文摘要：
我们提出一种直接几何构造，将Reshetikhin–Turaev TQFT扩展至圆范畴；证明其与Bartlett–Douglas–Schommer-Pries–Vicary的生成元-关系方法一致，为后者一次扩展三维TQFT分类中的Cerf理论部分提供替代方案，进而推出所有一次扩展三维TQFT均可通过该构造得到
英文摘要：
We present a direct geometric construction which extends the Reshetikhin--Turaev TQFT to circles. We prove that this agrees with the generators-and-relations approach of Bartlett--Douglas--Schommer-Pries--Vicary, thus providing an alternative to the Cerf-theoretic part of their classification of once-extended 3-dimensional TQFTs, and deduce as a result that all once-extended 3-dimensional TQFTs arise via our construction.
