A Lattice Version of the Atiyah–Singer Index Theorem

被引：0

作者：

Mayuko Yamashita

机构：

[1] Kyoto University,Research Institute for Mathematical Sciences

来源：

Communications in Mathematical Physics | 2021年 / 385卷

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D O I：

暂无

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学科分类号：

摘要：

We formulate and prove a lattice version of the Atiyah–Singer index theorem. The main theorem gives a K-theoretic formula for an index-type invariant of operators on lattice approximations of closed integral affine manifolds. We apply the main theorem to an index problem of Wilson–Dirac operators in lattice gauge theory.

引用

页码：495 / 520

页数：25

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