阿基米德L-因子与拓扑域论I
Archimedean L-factors and Topological Field Theories I
摘要：
本文提出了由Gamma函数的乘积给出的阿基米德L-因子的泛函整表示。在圆盘上A型等变拓扑线性σ模型的描述中，给出了相应的泛函积分。泛函整表示特别提供了一种解释，即伽玛函数是圆盘到C的全纯映射的无限维空间的等变辛体积。这应该被认为是伽玛函数的经典欧拉整表示的镜像对偶。利用三维等变拓扑线性σ模型给出了q变形Gamma函数的一个类似泛函整表示.一般来说，在适当的超暴力完成，拓扑西格玛模型考虑在一个特定类别的三维空间与紧凑的卡勒目标空间提供了一个量子场论描述的K理论版本的格罗莫夫-威滕不变量。
英文摘要：
We propose a functional integral representation for Archimedean L-factors given by products of Gamma-functions. The corresponding functional integral arises in the description of type A equivariant topological linear sigma model on a disk. The functional integral representation provides in particular an interpretation of the Gamma-function as an equivariant symplectic volume of an infinite-dimensional space of holomorphic maps of the disk to C. This should be considered as a mirror-dual to the classical Euler integral representation of the Gamma-function. We give an analogous functional integral representation of q-deformed Gamma-functions using a three-dimensional equivariant topological linear sigma model on a handlebody. In general, upon proper ultra-violent completion, the topological sigma model considered on a particular class of three-dimensional spaces with a compact Kahler target space provides a quantum field theory description of a K-theory version of Gromov-Witten invariants.
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。
