Poincaré-Hopf定理的半经典热核证明
A Semiclassical Heat Kernel Proof of the Poincaré-Hopf Theorem
摘要：
我们用半经典热核方法处理de Rham复形上的Witten算子，得到Poincaré-Hopf定理及其退化推广，从而看到Witten热核的半经典渐近性与Mathai和Quillen的Thom形式的方法之间的关系.
英文摘要：
We treat the Witten operator on the de Rham complex with semiclassical heat kernel methods to derive the Poincaré-Hopf theorem and degenerate generalizations of it. Thereby, we see how the semiclassical asymptotics of the Witten heat kernel are related to approaches using the Thom form of Mathai and Quillen.
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