具有孤立奇点的伪流形的K-对偶
K-duality for pseudomanifolds with isolated singularities
摘要：
我们将具有孤立奇点的伪流形$X$与一个可微广群$G$联系起来，它扮演着$X$的切空间的角色。我们构造了一个Dirac元$D$和一个对偶Dirac元$λ$，使得$D$和$λ$在$C^*$ -代数$C(X)$和$C^*(G)$之间引入了$K$ -理论中的Poincar{é}对偶.
英文摘要：
We associate to a pseudomanifold $X$ with isolated singularities a differentiable groupoid $G$ which plays the role of the tangent space of $X$. We construct a Dirac element $D$ and a Dual Dirac element $λ$ such that $D$ and $λ$ induce a Poincar{é} duality in $K$-theory between the $C^*$-algebras $C(X)$ and $C^*(G)$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
