Deligne-Beilinson上同调与交换环不变量
Deligne-Beilinson cohomology and abelian links invariants
摘要：
对于交换的Chern-Simons场论，我们考虑Deligne-Beilinson上同调类上的量子泛函积分，得到了一般闭可定向三维流形中观测量的主要性质.给出了无挠三维流形$S^3$，$S^1 \times S^2$和$S^1 \times Σ_g$中Chern-Simons链不变量的显式路径积分非微扰计算.
英文摘要：
For the abelian Chern-Simons field theory, we consider the quantum functional integration over the Deligne-Beilinson cohomology classes and we derive the main properties of the observables in a generic closed orientable 3-manifold. We present an explicit path-integral non-perturbative computation of the Chern-Simons links invariants in the case of the torsion-free 3-manifolds $S^3$, $S^1 \times S^2$ and $S^1 \times Σ_g$.
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