Lefschetz Pencils, Branched Covers and Symplectic Invariants
Lefschetz Pencils, Branched Covers and Symplectic Invariants
复制标题
Lefschetz 铅笔、分支覆盖和辛不变量
DOI：
10.1007/978-3-540-78279-7_1
复制
发表时间：
2004
期刊：
影响因子：
--
通讯作者：
I. Smith
中科院分区：
文献类型：
--
作者：
D. Auroux;I. Smith
这套讲座的目的是给一个概述的唐纳森理论的线性系统的辛流形和代数和几何不变量，他们给了。在收集了一些相关的背景知识后，我们讨论了关于射影平面的Lefschetz束和分支覆盖的拓扑、代数和辛观点。后来的讲座讨论通过结合这个理论与伪全纯曲线方法获得的不变量。
This set of lectures aims to give an overview of Donaldson's theory of linear systems on symplectic manifolds and the algebraic and geometric invariants to which they give rise. After collecting some of the relevant background, we discuss topological, algebraic and symplectic viewpoints on Lefschetz pencils and branched covers of the projective plane. The later lectures discuss invariants obtained by combining this theory with pseudo-holomorphic curve methods.