论文标题
量子力矩图和封闭的Fedosov Star产品的障碍物
Quantum moment map and obstructions to the existence of closed Fedosov star products
论文作者
论文摘要
结果表明，用于量子力矩图的Fedosov星的归一化痕迹仅取决于符号形式的共同体学类别中的路径成分和定义FedOsov连接所需的封闭式正式2形式的共同体学类别（定理1.3）。作为一种应用，我们获得了封闭的Fedosov恒星产品的存在，自然而然地附着在符号歧管（定理1.5）和Kähler歧管（定理1.6）上。这些障碍物仅取决于符号形式的共同体学类别的路径成分。仅限于紧凑的kähler歧管，我们重新发现了[29]早些时候发现的阻塞。
It is shown that the normalized trace of Fedosov star product for quantum moment map depends only on the path component in the cohomology class of the symplectic form and the cohomology class of the closed formal 2-form required to define Fedosov connections (Theorem 1.3). As an application we obtain a family of obstructions to the existence of closed Fedosov star products naturally attached to symplectic manifolds (Theorem 1.5) and Kähler manifolds (Theorem 1.6). These obstructions are integral invariants depending only on the path component of the cohomology class of the symplectic form. Restricted to compact Kähler manifolds we re-discover an obstruction found earlier in [29].
