同调约化的变体
Variations on Homological Reduction
摘要：
本文研究经典哈密顿力学中第一类约束的BFV约化和形变量子化。其结果是，我们得到了某些奇异约化辛代数的连续星积。我们将约束的“不可约性”的概念与交换代数中使用的完全交的概念联系起来。我们利用M。罗斯坦我们还讨论了无限可约性问题。列举了几个例子。
英文摘要：
In this paper, we are concerned with the BFV-reduction of first class constraints in classsical Hamiltonian mechanics and deformation quantization. As a result, we obtain continuous star products for certain singular reduced symplectic quotients. We relate the notion of "irreducibility" of a constraint to the notion of complete intersection used in commutative algebra. We generalize the classical BFV construction to the case of projective Tate generators using a super-Poisson bracket discovered by M. Rothstein. We also discuss the problem of infinite reducibility. Several examples are elaborated on.
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