格Wilson-Dirac算子的高阶指标定理
The index theorem of lattice Wilson--Dirac operators via higher index theory
摘要：
本文证明了格Wilson-Dirac算子的指数定理，即标准环面上的扭曲Dirac算子的指数可用相应的格Wilson-Dirac算子来描述.我们的证明是基于几乎平坦向量丛的高指标理论。
英文摘要：
We give a proof of the index theorem of lattice Wilson--Dirac operators, which states that the index of a twisted Dirac operator on the standard torus is described in terms of the corresponding lattice Wilson--Dirac operator. Our proof is based on the higher index theory of almost flat vector bundles.
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