论文标题
代数循环空间上的奇异性拓扑
Topology of Singularities on Algebraic Loop Spaces
论文作者
论文摘要
我们研究了\ emph {代数形式环}的空间引起的一些简单的无限尺寸奇异性的拓扑。我们证明,在某些简单的情况下,附近周期共同体的自然类似物在循环空间上的功能消失了,并进一步表明,上述同胞的适当重新归一化的版本会产生一个简单的(非零)结果。
We study the topology of some simple infinite dimensional singularities arising from spaces of \emph{algebraic formal loops}. We prove that in some simple cases the natural analogue of nearby cycles cohomology for a function on the loop space vanishes, and show further that a suitably renormalized version of the above cohomology produces a simple (non-zero) result.