The Index Theorem of Lattice Wilson–Dirac Operators via Higher Index Theory

被引：0
|
作者：
Yosuke Kubota
机构：
[1] Shinshu University,Department of Mathematical Sciences
[2] RIKEN,iTHEMS Program
来源：
Annales Henri Poincaré | 2022年 / 23卷
关键词：
Primary 19K56; Secondary 81T13; 46L80;
D O I：
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中图分类号：
学科分类号：
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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页码：1297 / 1319
页数：22
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