论文标题
Atiyah-Singer索引定理的晶格版本
A lattice version of the Atiyah-Singer index theorem
论文作者
论文摘要
我们制定并证明了Atiyah-Singer索引定理的晶格版本。主要定理给出了$ k $的理论公式，用于在封闭的积分仿射歧管的晶格近似过程中索引类型不变的索引型。我们将主要定理应用于Wilson-Dirac Operators在晶格仪理论中的索引问题。
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.
