论文标题
惠特尼塔简介
Introduction to Whitney Towers
论文作者
论文摘要
这些关于与吉姆·康纳特（Jim Conant）和彼得·蒂希纳（Peter Teichner）合作开发的关于惠特尼塔的介绍性注释，是在2020年2月在意大利比萨举行的冬季辫子X会议上进行的三场说明性讲座的扩展。提出的主题包括在4空间中对表面的当地操纵，与惠特尼塔及其相关树木有关的基本定义，几何雅各比身份，在4球和高级ARF不变式中的旋转惠特尼塔的分类，以及在4- man andifolds中的2-Spheres上的低级惠特尼塔楼和相关的低级惠特尼塔。
These introductory notes on Whitney towers in 4-manifolds, as developed in collaboration with Jim Conant and Peter Teichner, are an expansion of three expository lectures given at the Winter Braids X conference February 2020 in Pisa, Italy. Topics presented include local manipulations of surfaces in 4-space, fundamental definitions related to Whitney towers and their associated trees, geometric Jacobi identities, the classification of order n twisted Whitney towers in the 4-ball and higher-order Arf invariants, and low-order Whitney towers on 2-spheres in 4-manifolds and related invariants.
