Deligne-Beilinson上同调与阿贝尔环不变量:挠情形
Deligne-Beilinson cohomology and abelian link invariants: torsion case
摘要:
对于交换Chern-Simons场论,我们考虑Deligne-Beilinson上同调类上的量子泛函积分,给出了一个带挠三维流形$SO(3)\simeq\mathbb{R}P^3$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 present an explicit path-integral non-perturbative computation of the Chern-Simons link invariants in $SO(3)\simeq\mathbb{R}P^3$, a toy example of 3-manifold with torsion.
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