论文标题
多尔贝特建筑群的威特变形
The Witten deformation of the Dolbeault complex
论文作者
论文摘要
我们介绍了任何复杂的kähler歧管的dolbeault complecter的Witten-Novikov类型扰动$ \ bar \ bar \ bar \ partial _ {\barΩ} $，由$ \ \partialΩ= 0 $定义。我们对关联的指数密度进行了明确的描述，该密度表明它对$ω$表现出非平凡的依赖性。低阶的热量不变性显示为零。
We introduce a Witten-Novikov type perturbation $\bar\partial_{\barω}$ of the Dolbeault complex of any complex Kähler manifold, defined by a form $ω$ of type $(1,0)$ with $\partialω=0$. We give an explicit description of the associated index density which shows that it exhibits a nontrivial dependence on $ω$. The heat invariants of lower order are shown to be zero.
