论文标题
代数索引定理的属用于超人
Genera from an algebraic index theorem for supermanifolds
论文作者
论文摘要
我们证明了Nest-Tsygan的代数索引定理的超级反应。这项工作的灵感来自三个相关故事中相同的恢复不变的外观：索引理论，代数理论中的痕量方法以及量子场理论中的分区功能。我们表明，可以使用痕量方法来恢复在超对称量子力学中出现的恢复不变的，以解决相关的变形量化问题。
We prove a super-version of Nest-Tsygan's algebraic index theorem. This work is inspired by the appearance of the same cobordism invariants in three related stories: index theory, trace methods in the deformation theory of algebras, and partition functions in quantum field theory. We show that one can recover the cobordism invariant appearing in supersymmetric quantum mechanics using trace methods for the associated deformation quantization problem.
