Advances in Algebraic Geometry Motivated by Physics
Advances in Algebraic Geometry Motivated by Physics
复制标题
物理学推动的代数几何进展
DOI：
10.1090/conm/276
复制
发表时间：
2001
期刊：
影响因子：
--
通讯作者：
E. Previato
中科院分区：
文献类型：
--
作者：
E. Previato
我们的知识对象的代数几何，如模量的曲线，（真实的）舒伯特类，基本群的补充超平面安排，环面品种，和变化的霍奇结构，已加强最近的想法和建设的量子场论，如镜像对称，格罗莫夫-威滕不变量，量子上同调，和引力后裔。这些是这篇论文集的一些主题，这些论文集产生于2000年4月在马萨诸塞州洛厄尔举行的AMS会议上举行的“物理学中的枚举几何”特别会议。这次会议汇集了数学家和物理学家谁报告了最新的结果和开放的问题;所有的摘要都包括在附录中，也包括一些谁不能参加的论文。该集合提供了最先进的工具，连接古典和现代问题的链接，以及可用的最新知识的概述。
Our knowledge of objects of algebraic geometry such as moduli of curves,(real) Schubert classes, fundamental groups of complements of hyperplane arrangements, toric varieties, and variation of Hodge structures, has been enhanced recently by ideas and constructions of quantum field theory, such as mirror symmetry, Gromov-Witten invariants, quantum cohomology, and gravitational descendants. These are some of the themes of this refereed collection of papers, which grew out of the special session,``Enumerative Geometry in Physics,''held at the AMS meeting in Lowell, MA, April 2000. This session brought together mathematicians and physicists who reported on the latest results and open questions; all the abstracts are included as an Appendix, and also included are papers by some who could not attend. The collection provides an overview of state-of-the-art tools, links that connect classical and modern problems, and the latest knowledge available.